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