Question

Write a polynomial function rule for g(x)+f(x)


Consider the polynomial function
f(x)=7x^3+x2-4x+10
g(x)=c^2-5

Answer 1

Given:

Consider the given polynomials are:

$f(x)=7x^3+x^2-4x+10$

$g(x)=x^2-5$

To find:

The polynomial function rule for $g(x)+f(x)$.

Solution:

We need to add both functions to get $g(x)+f(x)$.

$g(x)+f(x)=(x^2-5)+(7x^3+x^2-4x+10)$

$g(x)+f(x)=x^2-5+7x^3+x^2-4x+10$

On combining like terms, we get

$g(x)+f(x)=7x^3+(x^2+x^2)-4x+(10-5)$

$g(x)+f(x)=7x^3+2x^2-4x+5$

Therefore, the required function is $g(x)+f(x)=7x^3+2x^2-4x+5$.