Question

the function $h(x) = f(x) + g(x)$ is the sum of two cubic polynomials.

$h(x) = \left(2x^3 + 5x^2 + 2\
ight) + \left(-2x^3 - 4x^2 + 3x\
ight)$

write $h(x)$ as a sum using the fewest number of terms.

$h(x) = \boxed{}$

Explanation:

Step1: Remove parentheses

$h(x)=2x^3 + 5x^2 + 2 - 2x^3 - 4x^2 + 3x$

Step2: Combine like $x^3$ terms

$2x^3 - 2x^3 = 0$

Step3: Combine like $x^2$ terms

$5x^2 - 4x^2 = x^2$

Step4: Collect remaining terms

$x^2 + 3x + 2$

Answer:

$h(x)=x^2 + 3x + 2$