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?

Guest May 30, 2021

#2**+1 **

take the terms from each bracket with the highest power and multiply them together.

the degree is the power of the answer.

Melody May 31, 2021

#3**+1 **

(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 =** x ^{4+3+3 }**

^{ }The constants a-f do nothing to change the degree of the polynomial

ElectricPavlov May 31, 2021