Question

Find the degree of the polynomial functions or if they are not a polynomial function.
1. 5x^10 + 13x^4 -17x^3
2. 5x^3y^2 + 13x^4y^3-17x^3y^4
3. x^7 + 3
4. x^4 + 3x^2 -5x
5. 5x^2 - 3x^5 -5x^3

Answer Choices
7
9
10
5
4
Not a polynomial in 1 variable.

Answer 1

Are you matching the choices to the numbers?

Answer 2

yes

Answer 3

Ah ok well the degree of a polynomial is the exponent to the very leading part of the function so like: 3x^2+x-8, 2 would be the degree. Does that help?

Answer 4

a little, it's still confusing to me though

Answer 5

ok ill do the first for u. so we have 5x^10 + 13x^4 -17x^3 correct?

Well that would match the choice of 10 since the leading portion is 5x^10 and the exponent is 10 the degree of it is 10. Help?

Answer 6

Ok, so the second would be 4 and the third would be 7?

Answer 7

the third one would be 7 yes but the second one i am not so sure about i didn't deal with functions involving more then 1 variable and picking out a degree

Answer 8

so the second would not be a polynomial in 1 variable, right?

Answer 9

would the fourth be 4 and the fifth be 5?

Answer 10

now that i rethink this the 2nd is 7 because you add up the exponents of each term so it would be: 2+3=5, 4+3=7, 3+4=7 and since 7 is the highest degree for a term it is the highest for the function. The third one i believe is the not a polynomial in 1 variable. The 4th and 5th you got correct

Answer 11

Ah I get it thank you

Answer 12

Welcome!