Question

Three polynomial functions are defined below.

f(x)=−3x3−7x2−4x+3

g(x)=−3x3+(3−2a)x2−6x−7

h(x)=3x3+(a+5)x2+5x−2

If f(x)−g(x)+h(x)=3x3+16x2+7x+8, what is the value of a?

Answer 1

if you compute f(x)-g(x) + h(x)
\[
+3 x^3 +(a+5) x^2-(3-2 a) x^2-7 x^2+7 x+8
\]

Answer 2

Find the coefficients x^2 and write equal to 16 and solve for a.
Do it