NCS FACTORING POLYNOMIALS

Factoring trinomials

100

Factor completely: x²+8x+12

(x+6)(x+2)

200

Factor completely: m²-11m+18

(m-9)(m-2)

300

Factor completely: x²+5x-24

(x+8)(x-3)

400

Factor completely: 8v²-8v-16

8(v+1)(v-2)

500

Factor completely: 6x²+66x+60

6(x+10)(x+1)

Factoring by Difference of 2 Squares

100

Factor completely: 4x²-9

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

200

Factor completely: 81x²-1

(9x+1)(9x-1)

300

Factor completely:4x²-16

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

400

Factor completely: 294x² - 150

6(7x+5)(7x-5)

500

Factor completely:27x²-48y²

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

Factor by GCF

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor out the GCF: 17x²+51x

17x(x+3)

300

9x⁷y⁵-3x²y⁶

3x²y⁵(3x⁵-y)

400

Factor out the GCF: 24x²y-4y²x-12y

4y(6x²-x-12)

500

Factor out the GCF: 207ca²-18ac+81c

9c(23a²-2a+9)

Factor by Grouping

100

Factor completely: x²+2x+4x+8

(x+2)(x+4)

200

Factor completely: xy-5x+9y-45

(x+9)(y-5)

300

Factor completely: 3x³-2x²-6x+4

(x²-2)(3x-2)

400

Factor completely: cx-dx+dy-cy

(c-d)(x-y)

500

Factor completely: xⁿyⁿ-xⁿ+2yⁿ-2

(xⁿ+2)(yⁿ-1)