Reference no: EM13531133

1. Find the GCF of the product.     (3b + 6)(2b – 10)

A)  6    B)  5    C)  2    D)  3

2. Factor completely.    b² – ab – 6a²

A)  (b + 3a)(b – 2a)    B)  (b + 6a)(b – a)    C)  (b – 3a)(b + 2a)    D)  (b – 6a)(b + a)

3. Factor completely.     12x³ – 3xy²

A) 3x(2x + y)(2x – y) C) 3x(4x – y)(x + y)

B) 3x(2x – y)² D) 12x(x – 3y)(x – y)

4. Use the ac test to determine if the following trinomial can be factored.

x² + 2x + 3

A)  Not factorable    B)  Factorable

5. Factor completely.     25x² + 30xy + 9y²

A) (25x + 3y)(x + 3y) C) (5x – 3y)(5x + 3y)

B) (5x + y)(5x + 9y) D) (5x + 3y)²

6. Factor.    50x³ – 90x²

A)  50x2(x – 90)    B)  –10x2(–5x – 90)    C)  –50x(x2 – 90x)    D)  –10x2(–5x + 9)

7. State which method should be applied as the first step for factoring the polynomial.

(x – 6y)² – 1

A) Group the terms. C) Find the GCF.

B) Use the ac method (or trial and error). D) Factor the difference of squares.

8. Factor.    8m⁴n – 16mn⁴

A)  8m⁴n⁴(m – 2n)    B)  8mn(m³ – 2n³)    C)  8m⁴n(1 – 2n³)    D)  8m⁴n(1 – 16mn⁴)

9. Factor.     3a²(a – b) – 6a(a – b) + 21(a – b)

A) (3a – b)(a2 – 2a + 7) C) (a – b)(3a2 – 6a + 21)

B) 3(a – b)(a2 – 6a + 21) D) 3(a – b)(a2 – 2a + 7)

10. Factor completely.     x² + 3x – 28

A)  (x – 4)(x – 7)    B)  (x – 4)(x + 7)    C)  (x + 4)(x – 7)    D)  (x + 1)(x – 28)

11. Factor completely.    y³ – 12y² + 36y

A)  y(y – 9)(y + 4)    B)  y(y + 6)²    C)  y(y + 12)(y – 3)    D)  y(y – 6)²

12. State which method should be applied as the first step for factoring the polynomial.

2a² + 9a + 10

A) Factor the difference of squares. C) Use the ac method (or trial and error).

B) Find the GCF. D) Group the terms.

13. Factor completely.     6x² – xy – 5y²

A) (3x – 5y)(2x + y) C) (6x – 5y)(x + y)

B) (6x + 5y)(x – y) D) (3x + 5y)(2x – y)

14. Solve.     x² = –6x

A)  2, 6    B)  6, –6    C)  0, –6    D)  0, 6

15. Factor completely.     5a² – 125

A)  (5a – 1)(a – 125)    B)  5a(a – 25)    C)  5(a + 5)(a – 5)    D)  5(a – 5)²