Pre-calculus 12 Question!

Can you tell me whether the following are polynomial functions or not?

1) y=5x^0

2) y=square root 5x^2 +2x -1

3) y= 3x^3 +5x -1 /2x

Question

Pre-calculus 12 Question!




Can you tell me whether the following are polynomial functions or not?

1)  y=5x^0

2)  y=square root 5x^2 +2x -1

3)  y= 3x^3 +5x -1 /2x

korosh23 · Answer

$$y=5x^0$$

anonymous · Answer

I do believe they are,.

korosh23 · Answer

$$y= \sqrt{5x^2} +2x -1$$

korosh23 · Answer

$$y= 3x^3 +5x -1 \div 2x$$

korosh23 · Answer

@jim_thompson5910 hello, if you are not busy, can you help me out with this. Thank you

jim_thompson5910 · Answer

http://www.mathsisfun.com/algebra/polynomials.html a polynomial must not have a square root with a variable inside. This rules out (2) a polynomial must not have x in the denominator. This rules out (3) assuming the x is in the denominator

jim_thompson5910 · Answer

`y=5x^0` is definitely a polynomial since it fits the template on the given page I posted

korosh23 · Answer

@jim_thompson5910 yes, you are right. Constant term is a polynomial function|dw:1446247538548:dw|

jim_thompson5910 · Answer

yes, a polynomial is basically a sum of monomials

monomials are of the form

$$\Large c*x^n$$

this is assuming you're talking about a single variable polynomial
c is a constant, n is a positive integer

korosh23 · Answer

yes

jim_thompson5910 · Answer

all monomials are a polynomial, but not the other way around

korosh23 · Answer

I see. Thank you for the helpful information and website.

jim_thompson5910 · Answer

you're welcome