Question

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.

A rectangle labeled 10 x squared minus 13 x minus 14
What expressions can Mandisa use to represent the length and width of her yard?

(2x + 2) and (5x – 7)
(5x – 2) and (2x + 7)
(x – 2) and (10x + 7)
(10x + 2) and (x – 7)

Answer 1

(x-2) and (10x+7)

Explanation:

Answer 2

(x-2) and (10x+7)

Explanation:

10x²-13x-14

10x²-20x+7x-14

10x(x-2)+7(x-2)

(x-2)(10x+7)

the factors are (x-2)(10x+7)

meaning that the length and breadth are (x-2) and (10x+7)