The polynomial 8x^2 – 8x + 2 – 5 + x is simplified to 8x^2 – gx – h. what are the value of g and h? g = –9 and h = 7 g = 9 and h = –3 g = –7 and h = 7 g = 7 and h = 3

1.) Let's simplify the upper polynomial ourselves

8x² - 8x + 2 - 5 + x = 0

We leave 8x² alone because that's the only x² in the polynomial
We add x to -8x getting  -7x
We add 2 to -5 getting -3

Now we have

8x² - 7x -3 = 0

2.) Now we can look at 8x² - gx  -h = 0 and clearly see what numbers should be there
g = 7
h = 3

BE CAREFUL: Don't put g= -7 and h = -3 because then you are getting

8x² - (-7)x -(-3) = 0 which is the wrong polyinomial.