Answer:
[tex]4x^2 + 4x - 1[/tex]
Step-by-step explanation:
Let f(x) = [tex]7x^2 - x + 3[/tex], g(x) = [tex]3x^2 - 5x + 4[/tex], and let h(x) be the polynomial that we have to find.
From the question we know that,
f(x) = g(x) + h(x)
Subtract both sides by g(x),
f(x) - g(x) = h(x)
So h(x)
= f(x) - g(x)
= [tex]7x^2 - x + 3 - 3x^2 + 5x - 4[/tex]
= [tex]4x^2 + 4x - 1[/tex]
