Module 3 1033

Factor the polynomial by grouping (if possible). 2 xy - 9 cx - 18 cy + 81 c 2

(2y-9c)(x-9c)

Factor the sum or difference of cubes. 27 m 3 + 125 n 3

(3m+5n)(9m^2-15mn+25n^2)

Factor the trinomial completely by using any method. Remember to look for a common factor first. 3 r 2 + 5 r - 12

(3r-4)(r+3)

Factor the binomial. 27 u 3 + 64

(3u+4)(9u^2-12u+16)

Factor the trinomial completely by using any method. Remember to look for a common factor first. 4 r 2 + 37 r + 63

(4r+9)(r+7)

Factor the binomial or identify it as prime. 36 x 2 - 49

(6x+7)(6x-7)

Factor the binomial. 729 - x ^3

(9-x)(81+9x+x^2)

Factor the polynomial completely. If the polynomial cannot be factored, say it is prime. x ^2 + 10 x + 16

(x+2)(x+8)

Factor the polynomial completely. If the polynomial cannot be factored, say it is prime. x 2 - x - 12

(x+3)(x-4)

Factor the polynomial completely. If the polynomial cannot be factored, say it is prime. x 2 - x - 20

(x+4)(x-5)

Factor out the indicated quantity. -4 m n 3 + 5 mn - 9 m: Factor out the quantity - m.

-m(4n^3-5n+9)

Factor the trinomial completely by using any method. Remember to look for a common factor first. 2 m 2 + 4 m - 70

2(m-5)(m+7)

Divide the polynomials by using an appropriate method. (8 y 3 - 4 y 2 - 5 y + 5) ÷ ( y - 1)

8y^2+4y-1+4/y-1

Factor the binomial or identify it as prime. 25 y 2 + 9

Prime

Divide by using synthetic division. ( s 2 + 12 s + 27) ÷ ( s + 3)

s+9

Divide the polynomials by using long division. (14 x 2 - 33 x - 5) ÷ (7 x + 1)

2x-5

Factor the polynomial by grouping (if possible). 3 v 2 w - 21 vw - 3 v 2 + 21 v

3v(v-7)(w-1)

Multiply by using the special case products. (2/3 w+1) 2

4/9w^2+4/3w+1

Multiply by using the special case products. (-2 r 2 + 2 s) 2

4r^4-8r^2s+4s^2

Factor the binomial or identify it as prime 125 q ^2 - 45 r ^2

5(5q+3r)(5q-3r)