8-1 ADDING AND SUBTRACTING POLYNOMIALS Objective: to classify, add, and subtract polynomials.
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Transcript of 8-1 ADDING AND SUBTRACTING POLYNOMIALS Objective: to classify, add, and subtract polynomials.
8-1 ADDING AND SUBTRACTING POLYNOMIALSObjective: to classify, add, and subtract polynomials
What does each prefix mean?
mono one
bitwo
trithree
Vocabulary• We are going to fill in a vocabulary sheet together!
Degree of a Polynomial
• Degree of a monomial: the sum of the exponents of its variables
• Find the degree of each polynomial:
Try with a mathlete
Classifying Polynomials
Standard Form
• Write each polynomial in standard form. What is the name of the polynomial based on its degree and number of terms?
Try with a mathlete
ADDITION:
(4X2 + 5X – 1) + (6X2 – 3X – 4)
4x2 + 5x – 1 + 6x2 – 3x – 4
10x2 + 2x – 5
4x2 + 5x – 1+ 6x2 – 3x – 4 10x2 + 2x – 5
Method 1: Combine Like TermsMethod 2: Like Elimination
TOO1) (6x2y – xy2 + 7) + (-7x2y – 6xy2 – 5)
-x2y – 7xy2 + 22) (x + 6y – 3) + (10y – 3x + 1)
-2x + 16y – 2 3) (7x2 + 5x) + (6 – x)
7x2 + 4x + 6
Method 2: Make sure to line up like termsWrite answer in alphabetical/descending order
SUBTRACTION:
(X2 – 6X + 5) – (3X2 – 5X + 6)**DISTRIBUTE NEGATIVE TO 2ND POLYNOMIAL
x2 – 6x + 5 – 3x2 + 5x – 6
-2x2 – x – 1
x2 – 6x + 5+ -3x2 + 5x – 6 -2x2 – x – 1
Method 1 Method 2
TOO – volunteers to board
1) (6x – xy + 2y) – (-x + 3xy + 5y)
2) (10x2 + 2x + 6) – (6x – 2x2 + 4)
3) (6x – 2) – (10 + 2y)
Find the sum or difference.(5a – 3b) + (2a + 6b)
1. 3a – 9b2. 3a + 3b3. 7a + 3b4. 7a – 3b
Find the sum or difference.(5a – 3b) – (2a + 6b)
1. 3a – 9b2. 3a + 3b3. 7a + 3b4. 7a – 9b
Homework• Pg. 489 # 9 – 47 odd