SOLUTION: Factor 50x^3-90x^2

Question 94208: Factor 50x^3-90x^2
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
50x^3 - 90x^2
.
Notice that 50 and 90 both have a common factor of 10 ... remove that factor and you get:
.
10(5x^3 - 9x^2)
.
Now both of the terms in the parentheses have x^2 as a common factor. (x^3 is the same as
x^2 times x so you can remove the x^2 and the x remains). Removing the x^2 from both terms
results in the factored form becoming:
.
10x^2(5x - 9)
.
and that is as far as you can factor it. The two terms inside the parentheses have no
common factors so nothing else can be done unless your instructor prefers that you factor
the 10 into 5*2 and the x^2 into x*x to give you:
.
5*2*x*x(5x - 9)
.
but this is not common practice. The common form is 10x^2(5x - 9).
.
Hope this helps you to understand the problem.

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