Question

Let f (x) = 3x² + 2x – 1 and g (x) = x² – 3x + 1
Find f(x) + g(x)
4x² - x
4x² + 5x
2x² - 5x + 2
4x² - x + 2

Answer 1

We want to find the sum of the following functions

$\begin{gathered} f(x)=3x^2+2x-1 \\ g(x)=x^2-3x+1 \end{gathered}$

Since those functions are both polynomials, we just need to operate with the corresponding coefficients.

$\begin{gathered} f(x)+g(x)=(3x^2+2x-1)+(x^2-3x+1) \\ =3x^2+2x-1+x^2-3x+1 \\ =3x^2+x^2+2x-3x-1+1 \\ =(3^{}+1)x^2+(2-3)x+(-1+1) \\ =4x^2-x+0 \\ =4x^2-x \end{gathered}$

And this is our answer.