Polynomial Operations and Factoring

Factoring Trinomials

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor 5n²+26n+5

(5n+1)(n+5)

300

Factor 3x²+7x+4

(3x+4)(x+1)

400

Factor m²-11m+18

(m-9)(m-2)

500

Factor 6x²+x-2

(2x-1)(3x+2)

Adding/Subtracting Polynomials

100

(5p² − 3) + (2p²− 3 p³)

−3 p³+ 7p²− 3

200

(5a + 4) − (5a + 3)

1

300

(−4k⁴+ 14 + 3k² ) + (−3k⁴ − 14k² − 8)

−7k⁴− 11k²+ 6

400

(3x⁴ − 3x) − (3x − 3x⁴ )

6x⁴− 6x

500

(13a² − 6a⁵− 2a) − (−10a²− 11a⁵ + 9a)

5a⁵+ 23a²− 11a

Multiplying/Dividing Polynomials

100

(x-5)(x+3)

x²-2x-15

200

(x+5)(x²+3x)

x³+8x²+15x

300

(x³+2x²+4x)/(2x)

1/2x²+x+2

400

(5a-4)(2a²+3a+2)

10a³+7a²-2a-8

500

(2p⁵+4p⁴+30p³) / (6p)

(p⁴/3)+(2p³/3)+5p²

Factor by GCF

100

Factor by GCF 14n²+10n

2n(7n+5)

200

Factor by GCF 8-4a²

4(2-a²)

300

Factor by GCF 4x⁴+16x³-8x²

4x²(x²+4x-2)

400

Factor by GCF 18x³-6x

6x(3x²-1)

500

Factor by GCF 10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)

Special Cases

100

X²-9

(x+3)(x-3)

200

x²-16

(x + 4)(x - 4)

300

4x² -25

(2x - 5)(2x + 5)

400

4x²+12x+9

(2x+3)²

500

49a²-14a+1

(7a-1)²