Factoring Difference of Squares
Factoring
long division
synthetic division
miscellaneous
100

x^2-64

(x+8)(x-8)

100

factor 2x^3+x^2+8x+4

(x^2+4)(2x+1)

100

2x^2+7x+7 divided by x+2

2x+3 R 1

100

x^4-2x^3+3x+1 divided by x-3

x^3+x^2+3x+12+37/(x-3)

100

Use synthetic substitution to evaluate the polynomial P(x)=x^3+3x^2+4 for x=--3

P(--3)=4

200

x^2-121

(x+11)(x-11)

200

factor completely:  5x^4+40x

5x(x+2)(x^2-2x+4)

200

4x^2+3x^3+10 divided by x-2

3x^2+10x+20+50/x-2

200

6x^2-5x-6 divided by x+3

6x-23+63/(x+3)

200

Write an expression that represents the area of the top face of a rectangular prism when the height is x+2 and the volume of the prism is s^3-x^2-6x

x^2-3x

300

4x^4-16

(2x^2-4)(2x^2+4)

300

Factor completely  8y^3-27

(2y-3)(4y^2+6y+9)

300

15x^2+8x-12 divided by 3x+1

5x+1-13/(3x+1)

300

x^2-3x-18 divided by x-6

x+3

300

Determine whether (x-3) is a factor of the polynomial P(x)=4x^6-12x^5+2x^3-6x^2-5x+10

NO

400

16x^8-25y^6

(4x^4-5y^3)(4x^4+5y^3)

400

Factor completely  8+z^6

(2+z^2)(4-2z^2+2^4)

400

x^2+5x-28 divided by x-3

x+8-4/(x-3)

400

4x^2-12x+9 divided by x+1/2

4x-14+16/(x+1/2)

400

Determine whether the (x-8) is a factor of P(x)=x^5-8x^4+8x-64

yes

500

x^2-6

(x+sqrt6)(x-sqrt6)

500

Factor completely:  2x^5-16x^2

3x^2(x-2)(x^2+2x+4)

500

-y^2+2y^3+25 divided by y-3

2y^2+5y+15+70/(y-3)

500

(3x^2+9x-2) divided by (x-1/3)

3x+10-(1and1/3)/(x-1/3)

500

factor x^3-2x^2-9x+18

(x+3)(x+2)(x-2)

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