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

Greatest Common Factors of Monomials

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

Monomials

Free Monomials Calculator - This calculator will raise a monomial to a power,multiply monomials, or divide monomials.

Simplify 6x^2y^3(2x^2y)^3

Simplify the monomial in parentheses:
2^3x^2*3y^3
8x^6y^3
Now we update the multiplication:
6x^2y^3(8x^6y^3)
6*8 x^(2 + 6)y^(3 + 3)
[B]48x^8y^6[/B]
[MEDIA=youtube]rmuDx027gL4[/MEDIA]

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]