Question

Let V(x)=−x^2+2x−4 and W(x)=−x^3+2x^2+x+5. Find V(x)+W(x).

Answer 1

V(x) + W(x) = -x^3 + x^2 + 3x + 1

Explanation:

We can find V(x) + W(x) by combining like terms:

-x^2 + 2x - 4 -x^3 + 2x^2 + x + 5

-x^3 + (-x^2 + 2x^2) + (2x + x) + (-4 + 5)

-x^3 + x^2 + 3x + 1

Thus, V(x) + W(x) = -x^3 + x^2 + 3x + 1.