Operations & FACTORING POLYNOMIALS

Factoring trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Operations with Polynomials

100

Find the sum or difference:

(3n³-n) + (n³ + 5n) + (4n-6n²)

4n³-6n²+8n

200

Find the sum or the difference:

(8x²-4x+3)-(7x-11)

8x²-11x-8

300

Find the product:

(x²-x+2) (3x²+x-1)

3x⁴-2x³+4x²+x-2

400

Find the Product:

(3x + 2)²

9x²+12x+4

500

Find the Quotient:

-20x²-5x / 5x

-4x - 1

Factor with Difference of Squares

100

Factor: 9v⁴-100

(3v-10)(3v+10)

200

Factor: 1-4a²

(1-2a)(1+2a)

300

Factor: x²-64

(x-8)(x+8)

400

Factor: 52xy-39xz

13x(4y-3z)

500

Factor: 16 a³bc-49ab³c

abc (4a+7b)(4a-7b)

Factor by GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Factor with 4-Terms

100

Factor:

x³+ x²+2x+2

(x²+2)(x²+1)

200

Factor: 

6w³+4w²+3x+2

(2x²+1)(3w+2)

300

Factor:

7k³-35k²+6k-30

(7k²+6)(k-5)

400

Factor:

4m²+16mn-7m-28n

(4m-7)(m+4n)

500

Factor:

u³-u²v+uv²-v³

(u²+v²)(u-v)