Question

Match the degree with each polynomial function or if it is not a polynomial function
x4 + 3x2 -5x
5x3y2 + 13x4y3-17x3y4
5x10 + 13x4 -17x3
x7 + 3
5x2 - 3x5 -5x3
this are the answers
10
4
5
9
7
not a polynomial function in 1variable
please help i dont undersstand

Answer 1

???

Answer 2

The degree of a polynomial is determined by the highest degree of the terms in the expression. Look at the variables in each term and add up the exponents to get the degree of that term.

Some examples:
3x^2 has a degree of 2 since x is raised to 2.
5x^2y^3 has a degree of 5 (2+3 = 5)
5x has a degree of 1 (since x=x^1)


I'll also do one your problems for you:
5x3y2 + 13x4y3-17x3y4

The second and third terms have the highest degree in the expression...both have a degree of 7 (3 + 4= 7). The first term in this problem is 5...which is less than 7...so the entire expression has a degree of 7 since that's the highest degree of the individual terms.

I hope that's clear :)

Answer 3

thanks...