1) The degree of the polynomial p(x) is 11, and the degree of the polynomial q(x) is 7. Find all possible degrees of the polynomial p(x)+q(x)
Let f(x)=x^4- 3x^2+2 and g(x)=2x^4-6x^2+2x-1. What is the degree of f(x)*g(x)?
1. Degree 11 + Degree 7 will result in a polynomial of Degree 11
2. We only need to multiply the terms of each polynomial that have the highest degree...so.....
x^4 * 2x^4 = 2x^8 .....so....degree 8