Can someone help me factor 3x^2-4x and explain how you did it?

( x ) ( 3x - 4) = 3x² - 4x

3x²-4x
= 3*x*x-4*x ------- x²=x*x
=x(3x-4) -------- a(b+c)=ab+ac

the given polynomial is 3x^2-4x.

observe all the terms in the polynomial, and see if you can find any common factors. here x is the only common factor.

take x common from all the terms. we get the polynomial as follows.

3x*x-4*x.

separate x from the polynomial as follws.

x(3x-4).

voila! there you ahve your answer.

3x^2-4x
x(3x-4)

3x^2-4x
x(3x-4)

x is the factor of all terms, so x(3x-4)

3x^2 - 4x
= x(3x - 4)

Just take out the common factor x:

= x(3x - 4)

That's it!