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Answer:
D. h(x) = 5x² +12x +9
Step-by-step explanation:
The final constants are mostly different, so you can simplify your work by just figuring that one.
h(x) = g(x) -f(x)
h(0) = g(0) -f(0) = -7 -(-16) = +9 . . . . . matches choice D
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If you want to figure the whole expression ...
h(x) = g(x) -f(x)
h(x) = 12x² +7x -7 -(7x² -5x -16)
h(x) = 12x² +7x -7 -7x² +5x +16
h(x) = (12 -7)x² +(7 +5)x +(-7 +16)
h(x) = 5x² +12x +9 . . . . . matches choice D
