POLYNOMIAL OPERATIONS
INTEGRATED MATHEMATICS
TYPES OF POLYNOMIALSName # Terms Example
Monomial
Binomial
Trinomial
Polynomial
LIKE TERMSβ’ Same Variableβ’ Same Exponent
Example: and
DEGREE: LARGEST EXPONENT ON POLYNOMIAL
DESCENDING ORDER: HIGHEST DEGREE FIRST
DESCENDING ORDER:
EXAMPLE 1(3 π₯2+2 π₯β2 )+(β2π₯2+5 π₯+5)
EXAMPLE 2(31π4+π2+2πβ1 )+(β7π4+5π2β2π+2)
EXAMPLE 3(4 π2πβ5π+2 )+(β2π2πβ2πβ4 )
EXAMPLE 4(3π3β3π3π2β5πβ3 )+(5π3+2π3π2β3πβ2πβ2)
EXAMPLE 5(β2π3β5π2β2πβ4 )+(π4β6π2+7πβ10)
EXAMPLE 6(β2π₯4 π¦3β5π₯π¦+2 )+(π₯4 π¦3+π₯2+2π₯π¦+5)
Subtract
(π3β2π2+4 )β(π4β4 π3β3π2)EXAMPLE 7
(4 π₯3 π¦+2 π₯2 π¦ 2β3 π₯π¦+6 )β(π₯3 π¦β2π₯2 π¦2β2π₯π¦β3)
EXAMPLE 8
(3 π₯3 π¦2β4 π₯π¦+1 )β(β4 π₯3 π¦2β3π₯2 π¦2+3 π₯π¦β5)
EXAMPLE 9
(5π2β3π+6 )β(9π2β5πβ3)EXAMPLE 10
(4 π₯3+2π₯2β2 π₯β3 )β(2π₯3β3 π₯2+2)
EXAMPLE 11
MULTIPLYING POLYNOMIALSβ’ SIMPLIFY USING THE
DISTRIBUTIVE PROPERTYExample 1 2x ( 5x + 3 )
β’ SIMPLIFY USING THE DISTRIBUTIVE PROPERTYExample 2
β’ SIMPLIFY USING THE DISTRIBUTIVE PROPERTYExample 3
β’ SIMPLIFY USING THE DISTRIBUTIVE PROPERTYExample 4
8p
β’ SIMPLIFY USING THE DISTRIBUTIVE PROPERTYExample 5
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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
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