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)

Factoring Special Products

100

Factor into two binomials: x² - 100

(x+10)(x-10)

200

Factor : n²+26n+169

(n + 13)²

300

Factor into two binomials: 25x² - 324

(5x-18)(5x+18)

400

Factor : 4n² + 44n + 121

(2n + 11)²

500

Factor into two binomials: 49x²t⁴ - 196z⁶

(7xt² - 14z³)(7xt² + 14z³)

Factor Completely

100

Factor: 

12x² + 3x

3x(4x + 1)

200

Factor Completely: 

2x² + 12x + 16

2(x + 2)(x + 4)

300

Factor Completely: 

6x² - 486

6(x + 9)(x - 9)

400

Factor Completely: 

4x² - 36

4(x + 3)(x - 3)

500

Factor Completely:

13x⁵y² - 13x⁴y² - 1430x³y²

13x³y²(x + 10)(x - 11)

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)

Polynomials

100

Classify the polynomial:

 4n + 5

Binomial

200

State the leading coefficient and the degree:

4x² - 5x - 6x³ + 10

L.C. = -6

Degree: 3

300

Find the sum:

(5x² - 13) + (6x² + 14x + 9)

11x² + 14x - 4

400

Find the difference:

(5x⁵ + 4x³ - 6x + 10) - (2x⁵ - 3x² + 19x - 4) 

3x⁵ + 4x³ + 3x² - 25x + 14

500

Find the product:

(x - 3)(4x⁴ - 3x² + 10x + 12)

4x⁵ - 12x⁴ - 3x³ + 19x² - 18x - 36