the polynomial 8x² - 8x + 2 - 5 + x is simplified to 8x² - gx - h. what are the value of g and h?\no g = -9…

the polynomial 8x² - 8x + 2 - 5 + x is simplified to 8x² - gx - h. what are the value of g and h?\no g = -9 and h = 7\no g = 9 and h = -3\no g = -7 and h = 7\no g = 7 and h = 3

the polynomial 8x² - 8x + 2 - 5 + x is simplified to 8x² - gx - h. what are the value of g and h?\no g = -9 and h = 7\no g = 9 and h = -3\no g = -7 and h = 7\no g = 7 and h = 3

Answer

Explanation:

Step1: Combine like - terms

Combine the (x) - terms and the constant terms in the polynomial (8x^{2}-8x + 2-5 + x). (8x^{2}+(-8x+x)+(2 - 5)=8x^{2}+(-8 + 1)x+(2 - 5)=8x^{2}-7x-3)

Step2: Compare coefficients

Since (8x^{2}-7x - 3=8x^{2}-gx - h), by comparing the coefficients of (x) and the constant terms. We have (-g=-7) and (-h=-3). Solving (-g=-7) gives (g = 7), and solving (-h=-3) gives (h = 3).

Answer:

D. (g = 7) and (h = 3)