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Factoring Polynomials
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GCF Multiply/Simplify Factoring Solving Polynomials Rational Functions
10 10 10 10 10
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Final Question
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Find the GCF:  15x3, 135x8, 225x4

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Find the GCF:  15x3, 135x8, 225x4


15x3


Factor out the GCF:  100x2+50x

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Factor out the GCF:  100x2+50x


50x(2x+1)


Find the GCF:  64x8y2, 40x5y8

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Find the GCF:  64x8y2, 40x5y8


8x5y2


Factor out the GCF:  2u2+80t2

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Factor out the GCF:  2u2+80t2


2(u2+40t2)


Find the GCF:  x3y4z5,  x5y4z3,  x4y3z5

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Find the GCF:  x3y4z5,  x5y4z3,  x4y3z5


x3y3z3


Combine like terms:  5x7-8x7

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Combine like terms:  5x7-8x7


-3x7


Multiply and simplify:  -4x(7x-8)

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Multiply and simplify:  -4x(7x-8)


-28x2+32x


Multiply and simplify:  (4x+4)(x+3)

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Multiply and simplify:  (4x+4)(x+3)


4x2+16x+12


Combine like terms:  15x8+7x4+x8-10x8

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Combine like terms:  15x8+7x4+x8-10x8


6x8+7x4


Multiply and simplify:  (3x-2)(3x+2)

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Multiply and simplify:  (3x-2)(3x+2)


9x2-4


Factor:  3x2-9x

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Factor:  3x2-9x


3x(x-3)


Factor: m2-49

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Factor: m2-49


(m+7)(m-7)


Factor:  5x2-5x-30

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Factor:  5x2-5x-30


5(x+2)(x-3)


Factor:  xy3-2y2+3xy-6

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Factor:  xy3-2y2+3xy-6


(xy-2)(y2+3)


Factor:  27x3-9x2+15x

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Factor:  27x3-9x2+15x


3x(9x2-3x+5)


Solve:  2(x+4)=0

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Solve:  2(x+4)=0


x=-4


Solve:  (y+2)(y-3)=0

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Solve:  (y+2)(y-3)=0


y=-2,3


Solve:  -5x(x-5)(x+5)=0

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Solve:  -5x(x-5)(x+5)=0


x=0,5,-5


Solve:  x2+2x+1=0

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Solve:  x2+2x+1=0


x=-1


Solve:  r2-100=0

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Solve:  r2-100=0


r=-10,10


Find domain:         x2-3x+2 / x2-4

 

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Find domain:         x2-3x+2 / x2-4

 


{x|x is all reals and x≠2,-2}


Find domain:  x/5

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Find domain:  x/5


{x|x is all reals}


Find domain:  x-6 / -6-x

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Find domain:  x-6 / -6-x


{x|x is all reals and x≠-6}


Simplify:  x-6 / 6-x  

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Simplify:  x-6 / 6-x  


-1


Multiply:  x2-9 / x2-4x+3  •  x2-1 / x+3

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Multiply:  x2-9 / x2-4x+3  •  x2-1 / x+3


x+1



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