monomial - a polynomial which has only one term. Constants and variables are monomials as well as one term polynomials

Greatest Common Factors of Monomials

This calculator will determine the Greatest Common Factors of a set of Monomials

Monomials

This calculator will raise a monomial to a power,multiply monomials, or divide monomials.

The graph of a polynomial f(x) = (2x - 3)(x - 4)(x + 3) has x-intercepts at 3 values. What are they?

The graph of a polynomial f(x) = (2x - 3)(x - 4)(x + 3) has x-intercepts at 3 values. What are they?
A few things to note:
[LIST]
[*]X-intercepts are found when y (or f(x)) is 0.
[*]On the right side, we have 3 monomials.
[*]Therefore, y or f(x) could be 0 when [U]any[/U] of these monomials is 0
[/LIST]
The 3 monomials are:
[LIST=1]
[*]2x - 3 = 0
[*]x - 4 = 0
[*]x + 3 = 0
[/LIST]
Find all 3 x-intercepts:
[LIST=1]
[*]2x - 3 = 0. [URL='https://www.mathcelebrity.com/1unk.php?num=2x-3%3D0&pl=Solve']Using our equation calculator[/URL], we see that x = [B]3/2 or 1.5[/B]
[*]x - 4 = 0 [URL='https://www.mathcelebrity.com/1unk.php?num=x-4%3D0&pl=Solve']Using our equation calculator[/URL], we see that x = [B]4[/B]
[*]x + 3 = 0 [URL='https://www.mathcelebrity.com/1unk.php?num=x%2B3%3D0&pl=Solve']Using our equation calculator[/URL], we see that x = [B]-3[/B]
[/LIST]
So our 3 x-intercepts are:
x = [B]{-3, 3/2, 4}[/B]

What is the ratio 18b^2 to 45b written in simplest for

What is the ratio 18b^2 to 45b written in simplest for
Using our [URL='https://www.mathcelebrity.com/monomial.php?num1=+%286xy%5E3%29%5E4&num2=+%283y%5E4%29%5E5%288x%5E6y%5E3%29&num3=18b%5E2%2F45b&pl=Divide']monomial calculator[/URL], we see that 18b^2/45b is
[B]2b/5[/B]