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itleCard

16x2+4xy2-4xy-y16x2+0xyy2Arrangethetermsindescendingform

OperationsonPolynomials:Multiplication

SpecialProductPatternsSumandDifference(a+b)(a-b)=a-bExample(x+3)(x-3)=x-9

(4x-y)(4x+y)=16x2y2

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uideCardSquareofaBinomial(a+b)=a+2ab+b(a-b)=a-2ab+bExample(y+4)=y+8y+16(3t-2)

IndealingwithPolynomials,wemustbeknowledgeableonhowoperationsaremadewiththem.InmultiplyingCubeofaBinomialpolynomials,theproperties(a+b)=a+3ab+3abofrealnumbers,lawsof+bexponentsandlawofsigns(a-b)=a-3ab+3ab-brenderedthemost.ExampleEx.(4xy)(4x+y)(x+1)=x+3x+3x+11

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(p-2)=p-6p+12p-8SharpenyourSkillsMultiplythefollowing:1.(x)(x)=_____________________2.2x(1+3x)=___________________3.xxxy=_____________

1.(x+4)2.(x+9)(x-2)(x+7)3.(x+6)(x+5)4.(x-6x+5)+(x+x-2)5.(16-13x)(10x-1)6.(7y-x)7.(x+3)(x-4)(x+7)8.5x(x-3)9.3x+(7x+2-6x+2x)10.(7x-1)(10x+

AA

ssessmentCardMultiplythefollowing1.5x(3x-x+3)2.10x(x-5)3.(x+1)(5x-x+x-4)4.(x-5)(x+5)5.(2x+5)(3x-x+x)

ctivityCardA.Usethelawsofexponenttofindtheproductofthefollowing:(6xy)(7x2y)2.(-8x2y)(-4x2y)3.-2/3xy(6x2y9xy2+12xy)4.(x+5y)(x+3y)5.5x2y3z3(5xy7x2y)1.

B.Multiplythefollowingapplyingthespecialproductpatterns:

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nrichmentCard

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1.2.3.4.

Simplify(4x24x7)(x+3)Simplify(x+2)(x3+3x2+4x17)Simplify(3x29x5)(2x2+4x7)Simplify(x3+2x2+4)(2x3+x+1)

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eferenceCard

www.WebMath.comMakingConnectionsinMathematicsIVbyGenerosoObaaandEdnaMangaldan

StudentsNotes________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

AnswerKeySharpenyourSkills1.2.3.

x22x+6x2x3y

ActivityCardA.1.2.3.4.5.B.1.2.3.4.5.6.x+8x+16x+14x+31x-126x+11x+302x-5x+3-23x+27y-14xy+x3

42x3y232x4y24x3y26x2y3+8x2y2x2+15y2+8xy25x3y4z335x4y4z3

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7.x+6x-19x-848.5x-15x9.2x-6x+10x+210.3x+4x-2x-5

AssessmentCard1.15x-5x+15x2.10x-50x3.5x4+4x-3x-44.X-255.6x4+13x-3x+5x

EnrichmentCard1.2.3.4.

4x3+8x219x21x4+5x3+10x29x346x46x347x2+83x352x6+4x5+x3+2x2+4x+4

ThishumbleSIMisbroughttoyoubyGonzales,AprilJaneC.,4-B,S.Y.2009-

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