The product of $7d^2-3d+g$ and $3d^2+hd-8$ is $21d^4-44d^3-35d^2+14d-16$. What is $g+h$?

g = 2  and h = -5

Step-by-step explanation:

To find the product with unknown values of variables, multiply the terms and equate the value to the given product.

=

    =   ... (1)

Comparing eq(1) to the product given in question,

-8g = -1

g = 2

24 + gh = 14, sub g =2,

24 + 2h = 14

h = -5

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