POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply...
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Transcript of POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply...
![Page 1: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/1.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
![Page 2: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/2.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
Distributive Property xazyxa
![Page 3: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/3.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
Distributive Property yaxazyxa
![Page 4: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/4.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
Distributive Property zayaxazyxa
![Page 5: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/5.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 1 : 84 xx
![Page 6: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/6.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 1 : xxxx 484
Use the distributive property…
![Page 7: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/7.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 1 : 84484 xxxxx
Use the distributive property…
![Page 8: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/8.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 1 : 84484 xxxxx
Now separate numbers and variables and multiply.Don’t forget to ADD exponents when multiplying like variables. Variables that are “by themselves” are attached and “come along for the ride”…
![Page 9: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/9.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 1 : 84484 xxxxx
![Page 10: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/10.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 2 : 222 532 bbaaba
![Page 11: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/11.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 2 : 222 532 bbaaba
- Distributive property
![Page 12: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/12.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 2 : 222 532 bbaaba
Now separate numbers and variables…
![Page 13: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/13.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 2 : 222 532 bbaaba
Now multiply…
![Page 14: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/14.jpg)
POLYNOMIALS – Monomial Times a Polynomial
When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.
EXAMPLE # 2 : 222 532 bbaaba
Now multiply…
![Page 15: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/15.jpg)
POLYNOMIALS – Monomial Times a Polynomial
In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.
EXAMPLE # 3 : 1372 22 mmmm
![Page 16: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/16.jpg)
POLYNOMIALS – Monomial Times a Polynomial
In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.
EXAMPLE # 3 : 1372 22 mmmm
Use the distributive property…
22mm
![Page 17: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/17.jpg)
POLYNOMIALS – Monomial Times a Polynomial
In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.
EXAMPLE # 3 : 1372 22 mmmm
Use the distributive property…
72 2 mmm
![Page 18: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/18.jpg)
POLYNOMIALS – Monomial Times a Polynomial
In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.
EXAMPLE # 3 : 1372 22 mmmm
Notice now we are distributing the next monomial…
mmmmm 372 22
![Page 19: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/19.jpg)
POLYNOMIALS – Monomial Times a Polynomial
In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.
EXAMPLE # 3 : 1372 22 mmmm
Notice now we are distributing the next monomial…
1372 222 mmmmmm
![Page 20: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/20.jpg)
POLYNOMIALS – Monomial Times a Polynomial
In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.
EXAMPLE # 3 : 1372 22 mmmm
Multiply and apply your exponent rule…
1372 222 mmmmmm
21221 372 mmmm
![Page 21: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/21.jpg)
POLYNOMIALS – Monomial Times a Polynomial
In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.
EXAMPLE # 3 : 1372 22 mmmm
1372 222 mmmmmm
21221 372 mmmm
233 372 mmmm
![Page 22: POLYNOMIALS – Monomial Times a Polynomial When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called.](https://reader036.fdocuments.net/reader036/viewer/2022062408/56649f355503460f94c53d18/html5/thumbnails/22.jpg)
POLYNOMIALS – Monomial Times a Polynomial
In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.
EXAMPLE # 3 : 1372 22 mmmm
1372 222 mmmmmm
21221 372 mmmm
233 372 mmmm
mmm 723 Combine like terms and write answer in descending order of exponents……