POLYNOMIAL OPERATIONS INTEGRATED MATHEMATICS. TYPES OF POLYNOMIALS Name# TermsExample Monomial...
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Transcript of POLYNOMIAL OPERATIONS INTEGRATED MATHEMATICS. TYPES OF POLYNOMIALS Name# TermsExample Monomial...
POLYNOMIAL OPERATIONS
INTEGRATED MATHEMATICS
TYPES OF POLYNOMIALSName # Terms Example
Monomial
Binomial
Trinomial
Polynomial
LIKE TERMSâą Same Variableâą Same Exponent
Example: and
DEGREE: LARGEST EXPONENT ON POLYNOMIAL
DESCENDING ORDER: HIGHEST DEGREE FIRST
DESCENDING ORDER:
EXAMPLE 1(3 đ„2+2 đ„â2 )+(â2đ„2+5 đ„+5)
EXAMPLE 2(31đ4+đ2+2đâ1 )+(â7đ4+5đ2â2đ+2)
EXAMPLE 3(4 đ2đâ5đ+2 )+(â2đ2đâ2đâ4 )
EXAMPLE 4(3đ3â3đ3đ2â5đâ3 )+(5đ3+2đ3đ2â3đâ2đâ2)
EXAMPLE 5(â2đ3â5đ2â2đâ4 )+(đ4â6đ2+7đâ10)
EXAMPLE 6(â2đ„4 đŠ3â5đ„đŠ+2 )+(đ„4 đŠ3+đ„2+2đ„đŠ+5)
Subtract
(đ3â2đ2+4 )â(đ4â4 đ3â3đ2)EXAMPLE 7
(4 đ„3 đŠ+2 đ„2 đŠ 2â3 đ„đŠ+6 )â(đ„3 đŠâ2đ„2 đŠ2â2đ„đŠâ3)
EXAMPLE 8
(3 đ„3 đŠ2â4 đ„đŠ+1 )â(â4 đ„3 đŠ2â3đ„2 đŠ2+3 đ„đŠâ5)
EXAMPLE 9
(5đ2â3đ+6 )â(9đ2â5đâ3)EXAMPLE 10
(4 đ„3+2đ„2â2 đ„â3 )â(2đ„3â3 đ„2+2)
EXAMPLE 11
MULTIPLYING POLYNOMIALSâą SIMPLIFY USING THE
DISTRIBUTIVE PROPERTYExample 1 2x ( 5x + 3 )
âą SIMPLIFY USING THE DISTRIBUTIVE PROPERTYExample 2
âą SIMPLIFY USING THE DISTRIBUTIVE PROPERTYExample 3
âą SIMPLIFY USING THE DISTRIBUTIVE PROPERTYExample 4
8p
âą SIMPLIFY USING THE DISTRIBUTIVE PROPERTYExample 5
TRY ON YOUR OWN1.
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MULTIPLYING BINOMIALS
HOW WOULD YOU USE THE DISTRIBUTIVE PROPERTY TO SIMPLIFY THIS?( x + 1) ( x + 5 )
binomial binomial
HOW WOULD YOU USE THE DISTRIBUTIVE PROPERTY TO SIMPLIFY THIS?Example 6
( x + 1) ( x + 5 )
Example 6( 2n + 3) ( n - 6 )
Example 7
Example 8
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SPECIAL CASESExample 9
SPECIAL CASESExample 10
SPECIAL CASESExample 11
SPECIAL CASESExample 12
SPECIAL CASESExample 13
SPECIAL CASESExample 14
SPECIAL CASESExample 15
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BINOMIALS & TRINOMIALS
Example 1
BINOMIALS & TRINOMIALS
Example 2
BINOMIALS & TRINOMIALS
Example 3
BINOMIALS & TRINOMIALS
Example 4
TRY ON YOUR OWN
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