HELP WITH FACTORiNG!!!?

Question

FACTOR 5X TO THE FOURTH POWE5 -15X CUBED -50X SQUARED BY FACTORING OUT THE GREATEST COMMON FACTOR. THEN FACTOR THE REMAINING TRINOMIAL. SHOW EACH STEP. THANK U!!!

Answer 1

PLEASE STOP YELLING!!
First factor out the common factor, 5x^2
This gives
5x^2(x^2 - 3x - 10)
Next come up with two numbers that multiply together to make -10 and add together to make -3
5x^2(x-5)(x+2)
For more info on factoring put tutorial factoring quadratics in your search window. You'll turn up sites such as...
http://www.purplemath.com/modules/factquad.htm
When you get to factoring quadratics with a lead coefficent other than 0, I have a trick for that. See...
http://answers.yahoo.com/question/index;_ylt=AnUOk.WdAxpoRjjfrDhKtUrsy6IX?qid=20070116093108AANHvgm
When you understand math, you can do it. Then you won't need us to do it for you, you can do it for yourself.

Answer 2

5x^4-15x^3-50x^2= 5x^2(x^2-3x-10)
you took 5x^2 as a common factor, and ended up with a trinomium of the form x^2+(a+b)-ab
Wich will end up being (x-a) (x-b)
so you get the equations
(a+b)= -3 and ab=10
So u can divide 10 only between 5 and 2, and 2-5 = -3
So you end up with
x^2-3x-10=(x-5) (x+2)
And the final answer is
5x^2(x-5)(x+2)

And stop using the yahoo answers for ur homework!

Answer 3

5x^4 -15x^3 -50x^2
5x^2 (x^2-3x-10)
what multiplies to get -10 but adds to get -3?
-1+10=9
-10+1=-9
-2+5=3
-5+2= -3 ***
now, the last number in the equation is negative (-10), so we know the factored equation will be (x- ) (x+ )
The numbers inside those parentheses will be -5 and +2
(5x^2) (x-5)(x+2)

Answer 4

5x^4-15x^3-50x^2

The greatest common factor is 5x^2.
Factor this out.
5x^2(x^2-3x-10)
Now, factor the inside.

5x^2(x-5)(x+2)

We can check our work by using foil, which means to multiply the first coefficients, outside, inside, then last.

5x^2(x^2+2x-5x-10)
Simplify inside parentheses by combining like terms.
5x^2(x^2-3x-10)
Now, multiply 5x^2 through the whole thing.
5x^4-15x^3-50x^2

Yes, 5x^2(x-5)(x+2) is the correct factoring.

I hope that this helps.

Answer 5

5x^4 - 15x^3 - 50x^2=

5x^2(x^2 - 3x - 10)=

5x^2(x^2 - 5x + 2x - 10)=

5x^2(x(x-5)+2(x-5))=

5x^2(x-5)(x+2)