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how do you factor

how do you factor 3x^2 ive tried and i cant figure it out

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Kathye P. | Math Geek, passionate about teachingMath Geek, passionate about teaching
5.0 5.0 (150 lesson ratings) (150)
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Hi, Bianca.

Since this is a monomial (only one term), let's look at what it is made of. 3x^2 means 3 times x times x. Since these are multiplied together, they are the factors. So you would factor it as (3)(x)(x). 

Hope this helps!

Kathye

Yitzhak S. | Johns Hopkins Engineer, Specializing in Math and Science.Johns Hopkins Engineer, Specializing in ...
4.8 4.8 (4 lesson ratings) (4)
0

When you factor things, you are probably used to seeing something like X+ BX + C = (X+    )(X+     ), where the two numbers that go in the blanks add up to B and multiply to C. In this case, we can think of the equation as 3X+ 0X + 0. Now, we factor out the 3, and get 3(X2 + 0X + 0). Now we use the parentheses.

3(X+    )(X+    ) we are looking for two numbers that add up to 0 and multiply to 0. What are they? 0 and 0 of course! So, 

3(X+0)(X+0) is the factoring. Since X+0 just equals 0, our final answer is

3(X)(X).

This may look like there are a few extra steps, but if you always do these problems in the same way, they will become much easier. 

 

 

Niral P. | Math, physical science, and English tutorMath, physical science, and English tuto...
0

You can look at this like 3x^2 + 0x + 0. So when you factor, it would be (3x + 0)(x + 0), or (3x)(x)