Question

13. What is a simpler form of each product?

(4x - 6y^3)^2

(A). 16x^2 - 24xy^3 + 36y^6
(B). 16x^2 - 48xy^3 + 36y^6
(C). 16x^2 + 36y^6
(D). 16x^2 - 4xy^3 + 36y^6

14. The area of a rectangular garden is given by the trinomial x^2 + 6x - 27. What are the possible dimensions of the rectangle? Use factoring.

(A). x - 9 and x + 3
(B). x + 9 and x - 3
(C). x - 9 and x - 3
(D). x + 9 and x + 3

15. The area of a rectangular garden is given by the trinomial x^2 + x - 30. What are the possible dimensions of the rectangle? Use factoring.

(A). (x - 6) and (x - 5)
(B). (x + 6) and (x - 5)
(C). (x + 6) and (x + 5)
(D). (x - 6) and (x + 5)

What is the factored form of the following expressions?

16. x^2 - 10xy + 24y^2

(A). (x + 6y)(x + 4y)
(B). (x - 2y)(x + 12y)
(C). (x + 2y)(x - 12y)
(D). (x - 6y)(x - 4y)

17. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x - 20. What are the possible dimensions of the barnyard? Use factoring.

(A). 2x - 5 and 3x + 4
(B). -2x + 5 and -3x + 4
(C). 2x + 5 and 3x - 4
(D). 2x - 5 and 3x - 4

18. The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

(A). (5x + 7) and (-x - 2)
(B). (5x + 7) and (x - 2)
(C). (5x - 7) and (x - 2)
(D). (5x - 7) and (x + 2)

Answer 1

13. (a-b)^2=a^2-2ab+b^2
B is the answer
14. B is the answer
( x+9)(x-3)= x^2+6x-27
15. B is the answer
(x+6)(x-5)=x^2+x-30
16. D is the answer
(x-6y)(x-4y)=x^2-10xy+24y^2
17. C is the answer
(2x+5)(3x-4)=6x^2+7x-20
18. B is the answer
(5x+7)(x-2)=5x^2-3x-14