Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^5 - 6x^2 + 2x -1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b* g(x)?

Guest Apr 2, 2021

#1**+1 **

This is a very simple question.

If you know what a degree is then you can work it out for yourself.

**The degree is the highest power of x.**

Melody Apr 2, 2021

#2**+1 **

HINT: What happens when b is equal to zero?

Work out the computation and try to think why it would have to be the smallest degree.

RiemannIntegralzzz Apr 2, 2021