FACTORING POLYNOMIALS

Factoring trinomialswhen a=1

100

x²+8x+12

(x+6)(x+2)

200

m²-11m+18

(m-9)(m-2)

300

x²+5x-24

(x+8)(x-3)

400

y²-6y-7

(y-7)(y+1)

500

x²-x-56

(x-8)(x+7)

Factoring Trinomialswhen a > 1

100

2x²+7x+3

(2x+1)(x+3)

200

5n²+26n+5

(5n+1)(n+5)

300

3x²-10x+7

(3x-7)(x-1)

400

7x²-36x+5

(7x-1)(x-5)

500

2x²-12x+10

(2x-2)(x-5)

Factor by Grouping

100

6x²+2xy-24x-8y

(6x+2y)(x-4) OR 2(3x+y)(x-4)

200

2x³+8x²-3x-12

(2x²-3)(x+4)

300

6n³+3n²+8n+4

(3n²+4)(2n+1)

400

4x⁴+12x³+6x²+18x

(4x³+6x)(x+3) OR 2x(2x²+3)(x+3)

500

10a²-8a+15ab-12b

(2a+3b)(5a-4)

Factor by GCF

100

 18n²+10n + 4n³

2n(9n + 5 +2n²)

200

22x³-11x

11x(2x²-1)

300

8-8a²

8(1-a²)

400

4x⁴+16x³-8x²

4x²(x²+4x-2)

500

10a³b⁴ - 6a²b⁶

2a²b⁴(5a-3b²)

Miscellaneous Math

100

Name the polynomial by terms and degree:

-3x³y + 8y³x -7x²y²

quartic trinomial

200

Identify the slope of the line:

3y = 4x + 12

m = 4/3

300

What is the leading coefficient:

-2x⁷y³z + 7x²yz⁹ - 3x⁴y²z⁴

7

400

A polynomial with 2 terms and a degree of 3 would be called:

cubic binomial

500

Rewrite the equation into slope intercept form:

-6x + 4y + 24 = 0

y= 3/2x - 6