What is the degree of the polynomial (x^4+ax^7+bx+c)(x^3+dx^2+e)(x+f)(x^3-8x^2+7x-1), where letters a through f are all nonzero constants?
take the terms from each bracket with the highest power and multiply them together.
the degree is the power of the answer.
(x^4+ax^7+bx+c)(x^3+dx^2+e)(x+f)(x^3-8x^2+7x-1),
x^4 * x^3 * x^3 = x4+3+3
The constants a-f do nothing to change the degree of the polynomial