Divide g(x)=3x^2+4x−5 by x−7 to find g(7).

g(7)=

1 answer

First, let's use polynomial long division to divide g(x) by x-7:

3x + 25
_____________________
x - 7 | 3x^2 + 4x - 5
-(3x^2 - 21x)
_______________
25x - 5
-(25x - 175)
______________
170

Therefore, g(x) = (x-7)(3x+25) + 170.

Now let's find g(7):

g(7) = (7-7)(3(7) + 25) + 170
= (0)(21 + 25) + 170
= 0 + 170
= 170

Therefore, g(7) = 170.