Polynomials and Factoring

Multiplying Polynomials

100

2x(x+8)

2x²+16x

200

–b²(b–10)

-b³+10b²

300

–3c(8+2c–c³)

-24c-6c²+3c⁴

400

–m(4m³–8m²+m)

-4m⁴+8m³-m²

500

2q(q+1) –q(q–1)

q²+3q

Factoring Polynomials (by GCF)

100

15x+27

3(5x+9)

200

6w³–14w

2w(3w²-7)

300

14b³+21b²–42b

7b(2b²+3b-6)

400

40t³+25t²+80t

5t(8t²+5t+16)

500

9v⁶w³+ 33v⁴w⁵

3v⁴w³(3v²+11w²)

Multiplying Binomials

100

(x+3)(x+8)

x² +11x+24

200

(5t-1)(3t-2)

15t² - 13t + 2

300

(6c - 2)(9c - 8)

54c² - 66c + 16

400

(2h+6)(5h-3)

10h² +24h - 18

500

(4p² + 2)(3p - 1)

12p³ - 4p² + 6p - 2

Multiplying Special Cases

100

(x+7)²

x² +14x+49

200

(k-10)²

k² −20k+100

300

(4m-2)²

16m² −16m+4

400

(v+7)(v-7)

v² − 49

500

(p⁵ - 8q³)²

p¹⁰ − 16p⁵q³ + 64q⁶