Polynomials Review

Addition

100

(4+2n³ )+(5n³+2)

What is 7n³ +6

200

(5p²-3)+(2p²-3p³)

What is -3p³+7p²-3

300

(-4k⁴+14+3k²)+(-3k⁴-14k²-8)

What is -7k⁴-11k²-8

400

(-7x⁵+14-2x)+(10x⁴+7x+5x⁵)

What is -2x⁵+10x⁴+5x+14

500

(-10k²+7k+6k⁴)+(-14-4k⁴-14k)

What is 2k⁴-10k²-7k-14

Subtraction

100

(a³-2a²)-(3a²-4a³)

What is 5a³-5a²

200

(4r³+3r⁴)-(r⁴-5r³)

What is 2r⁴+9r³

300

(3-6n⁵-8n⁴)-(-6n⁴-3n-8n⁵)

What is 2n⁵-2n⁴+3n+3

400

(8n-3n⁴+10n²)-(3n²+11n⁴-7)

What is -14n⁴+7n²+8n+7

500

(14p⁴+11p²-9p⁵)-(-14+5p⁵-11p²)

What is -14p⁵+14p⁴+22p²+14

Multiplication

100

7(-5v-8)

What is -35v-56

200

-4(v+1)

What is -4v-4

300

(6p+8)(5p-8)

What is 30p²-8p-64

400

(5n+6)(5n-5)

What is 25n²+5n-30

500

(8n+1)(6n-3)

What is 48n²-18n-3

Factor

100

x²-10x+9

What is (x-1)(x-9)

200

x²+4x-12

What is (x-2)(x+6)

300

x²+16x+64

What is (x+8)²

400

x²+4x-32

What is (x+8)(x-4)

500

x²-6x-135

What is (x-15)(x+9)

Factoring Special Cases

100

n²-100

What is (n+10)(n-10)

200

3b²+6b+3

What is 3(b+1)²

300

-4x²+100

What is -4(x+5)(x-5)

400

k⁴-36

What is (k²+6)(k²-6)

500

-7b⁴+343b²

What is -7b²(b+7)(b-7)