the polynomial $8x^{2}-8x + 2-5 + x$ is simplified to $8x^{2}-gx - h$. what are the value of $g$ and…

the polynomial $8x^{2}-8x + 2-5 + x$ is simplified to $8x^{2}-gx - h$. what are the value of $g$ and $h$?\n$g=-9$ and $h = 7$\n$g = 9$ and $h=-3$\n$g=-7$ and $h = 7$\n$g = 7$ and $h = 3$

the polynomial $8x^{2}-8x + 2-5 + x$ is simplified to $8x^{2}-gx - h$. what are the value of $g$ and $h$?\n$g=-9$ and $h = 7$\n$g = 9$ and $h=-3$\n$g=-7$ and $h = 7$\n$g = 7$ and $h = 3$

Answer

Explanation:

Step1: Combine like - terms

Combine the $x$ - terms and the constant terms in the polynomial $8x^{2}-8x + 2-5 + x$. The $x$ - terms are $-8x$ and $x$, and $-8x+x=-7x$. The constant terms are $2$ and $-5$, and $2 - 5=-3$. So the polynomial $8x^{2}-8x + 2-5 + x$ simplifies to $8x^{2}-7x-3$.

Step2: Compare with the given form

The simplified polynomial $8x^{2}-7x - 3$ is in the form $8x^{2}-gx - h$. By comparing the coefficients, we have $g = 7$ and $h = 3$.

Answer:

D. $g = 7$ and $h = 3$