Question

Based on its degree, what kind of polynomial is this?
h(x)=-x^2+2x-5

Answer 1

@ali1029, If you had a choice between

linear polynomial
quadratic polynomial
cubic polynomial

which would you pick?

Answer 2

In a polynomial function \(f(x)\), the degree is the highest exponent in the visible terms.

So we have three terms: \(-5,\phantom{.}2x,\phantom{.}and\phantom{.}x^2,\phantom{.}\)

Whichever of those three has the highest exponent number, THAT is the degree!

Answer 3

@DemolisionWolf hi, can you help me with this? I can't find the paper that had your notes on this :O

Answer 4

it was

degree | degree name
1 Linear
2 Quadratic
3 Cubic

as for name of a polynomial, it depended on how many terms are in the equation
# of terms | name of polynomial
1 monomia
2 binomial
3 trinomial

Answer 5

So if it wants to know what the name of this polynomial h(x)=-x^2+2x-5 would be based on its degree, my answer would be quadratic?

Answer 6

Yes

Answer 7

yep ^_^, based on it's degree.
if we were naming it based on it's polynomial type, it would be trinomial

Answer 8

thank you :)

Answer 9

Quadratic Trinomial to be more specific

Answer 10

Thanks guys! :)