Question

Please help! classify -6x^5+4x^3+3x^2+11 by degree

Answer 1

Polynomial degree is determined by the highest exponent. So here, the largest exponent on x is 5, so it is considered a polynomial of degree "5".

Answer 2

You can also say "fifth degree".

Answer 3

Yeah I got that but it wants to know if its quintic cubic quartic or quadratic and i have no idea wich one

Answer 4

*which

Answer 5

Okay. Those are not the common terms, but it would be quintic.

Answer 6

why? how do i know that

Answer 7

There is no other way to associate 5th with quintic and 4th with quartic and 3rd with cubic and 2nd with quadratic other than by memorizing those terms.

Answer 8

ohh ok that makes sense.

Answer 9

Could you help with one more?

Answer 10

Funny math tidbits!

Answer 11

Sure, why not?

Answer 12

write -2x^2(-5x^2+4x^3) in standard form.

Answer 13

You have to use the distributive property of multiplication for that.

The general form is a(c + d) = ac + ad

Here, we have: 10x^4 - 8x^5 but the terms are usually written descending on the exponents, so:

-8x^5 + 10x^4

Notice that we multiply the coefficients but add the exponents.

Answer 14

oh ok thank you so much I really had no idea on how to do those

Answer 15

You're welcome! And it looks like you learned something! That's good!

Answer 16

yeah I did thanks to you! :)