FACTORING POLYNOMIALS

a=1

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)

a>1

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

2(x+5)(x+1)

Difference of Squares

100

Factor 196a²-64

(14a-8)(14a+8)

200

Factor

x²-81y²

(x-9y)(x+9y)

300

Factor

4h²-25g²

(2h-5g)(2h+5g)

400

Factor

2n²-72

2(n+6)(n-6)

500

Factor

-8a²-18b²

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

Multiply

100

Distribute 

2n(7n+5)

14n²+10n

200

Distribute: 6x(3x²-1)

18x³-6x

300

FOIL

(4x-7)(x+3)

4x²+5x-21

400

FOIL

(6a+2)(2a+3)

12a²+22a+6

500

FOIL

(3w+1)(3w-1)

9w²-1

Miscellaneous polynomials

100

Write the polynomial in standard form

w³+5w²+28-w

w³+5w2-w+28

200

Classify the polynomial by the number of terms and degree

2m²+7m+3

quadratic, trinomial

300

Find the sum

(x²-4x+3)+(3x²-3x-5)

4x²-7x-2

400

Find the difference

(8r²-12r+4)-(3r²+5r-1)

5r²-17r+5

500

divide 18c³-21c²+3c   by 3c

6c²-7c+1