+0

# help

0
92
2
+13

Part A. Let $f(x) = x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. Let $a$ be a constant. What is the largest possible degree of $f(x) + a\cdot g(x)$?
Part B. Let $f(x) = x^4-3x^2 + 2$ and $g(x) = 2x^4 - 6x^2 + 2x -1$. Let $b$ be a constant. What is the smallest possible degree of the polynomial $f(x) + b\cdot g(x)$?

May 6, 2022

#1
+1

A) The largest possible degree of f(x) + ag(x) is 8.

B) The smallest possible degree of f(x) + bg(x) is 2.

May 6, 2022
#2
+117841
0