+980 We have that \(3 \cdot f(x) + 4 \cdot g(x) = h(x)\) where f(x), g(x), and h(x) are all polynomials in x. If the degree of f(x) is 8 and the degree of h(x) is 9, then what is the minimum possible degree of g(x)?
+129852 Multiplying a polynomial by a non-zero constant does not change its degree
So 3* f(x) still has degree 8
And if h(x) is degree 9, then g(x) must have degree 9 because
Degree 8 + Degree 9 will result in a Degree 9 polynomial = h(x)
+2095 Nice CPhill!!!!! I want to add on to what you said.
If the degree of f(x) is 8, then no matter what x is, the degree will always be 8.
g(x) must half a degree 9, which we know thanks to CPhill. A Degree 8 plus Degree 9 will always result in the larger one--- The Degree 9!!!
