Question

Is f(x)=1-3x^2+2x=5x^4+3x^3 a polynomial function and how do you know?

Answer 1

@dpaInc

Answer 2

in your posted function: f(x)=1-3x^2+2x=5x^4+3x^3
what is that second equal sign for?

Answer 3

a + sorry

Answer 4

@dpaInc

Answer 5

Polynomial function means you're adding a bunch of terms, and each term is just a number or a variable to an integer power: \[ \large
\sum_{i=0}^n a_ix^i
\]

Answer 6

Your coefficients can be any real number, but your powers have to be natural numbers like 1, 2, 3, 4, 5

Answer 7

you'll know you have a polynomial function if the exponents are NON-negative integers

Answer 8

so is this one a polynomial function