given that ( f(x)=x^{2}+13x + 40 ) and ( g(x)=x + 8 ), find ( f(x)+g(x) ) and express the result as a…
given that ( f(x)=x^{2}+13x + 40 ) and ( g(x)=x + 8 ), find ( f(x)+g(x) ) and express the result as a polynomial in simplest form.
Answer
Explanation:
Step1: Substitute the functions
$f(x)+g(x)=(x^{2}+13x + 40)+(x + 8)$
Step2: Combine like - terms
$$ \begin{align*} &x^{2}+13x + 40+x + 8\ =&x^{2}+(13x+x)+(40 + 8)\ =&x^{2}+14x+48 \end{align*} $$
Answer:
$x^{2}+14x + 48$