mandisa draws a rectangle to represent the area of her yard. the area can be represented by 10x² - 13x - 14…

mandisa draws a rectangle to represent the area of her yard. the area can be represented by 10x² - 13x - 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)

mandisa draws a rectangle to represent the area of her yard. the area can be represented by 10x² - 13x - 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

Explanation:

Step1: Expand each option

For option A: ((2x + 2)(5x-7)=2x\times5x-2x\times7 + 2\times5x-2\times7=10x^{2}-14x + 10x-14=10x^{2}-4x-14). For option B: ((5x - 2)(2x + 7)=5x\times2x+5x\times7-2\times2x-2\times7=10x^{2}+35x-4x - 14=10x^{2}+31x-14). For option C: ((x - 2)(10x + 7)=x\times10x+x\times7-2\times10x-2\times7=10x^{2}+7x-20x - 14=10x^{2}-13x-14). For option D: ((10x + 2)(x - 7)=10x\times x-10x\times7+2\times x-2\times7=10x^{2}-70x+2x - 14=10x^{2}-68x-14).

Answer:

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