Posted by **tonya** on Friday, February 11, 2011 at 10:21pm.

factor the following expression completely 75x^4+35x^3-10x^2

- math -
**helper**, Friday, February 11, 2011 at 10:29pm
75x^4 + 35x^3 - 10x^2

See your first post below for an example of how this is done.

Hint, factor out 5x^2 first, then factor the remaining expression.

You will never learn without practice :)

- math -
**Bosnian**, Friday, February 11, 2011 at 11:29pm
75x^4+35x^3-10x^2=(5x^2)*(15x^2+7x-2)

Factoring:

15x^2+7x-2

Using the factor pair (-3, 10) whose sum is 7, rewrite your equation replacing the term 7 x with

-3 x and 10 x.

15x^2+7x-2=15x^2-3x+10x-2

Now group the first two terms and the last two terms on the left hand side:

(15x^2-3x)+(10x-2)

Within each group, factor out common factors.

(15x^2-3x)+(10x-2)=3x*(5x-1)+2*(5x-1)

Notice that the two quantities in parentheses are the same. This means that the quantity, (5x-1), is a common factor and we can factor it out.

3x*(5x-1)+2*(5x-1)=(5x-1)*(3x+2)

15x^2+7x-2=(5x-1)*(3x+2)

75x^4+35x^3-10x^2=(5x^2)*(15x^2+7x-2)=

(5x^2)*(5x-1)*(3x+2)

- math -
**Amra**, Tuesday, November 13, 2012 at 9:01pm
Hvala

## Answer this Question

## Related Questions

- algebra - factor completely 75x^4+35x^3-10x^2
- algebra - factor the expression 4xsquared+35x+24 my answer: (4x+3)(x-8) 4x2 +35x...
- math,factoring,help - Can someone please show me step by step how to do these. I...
- algbera - if possibly completely factor the factor the expression(if the ...
- Math - Factor each expression completely. Can you please show me the steps on ...
- Algebra - Rewrite the middle term as the sum of two terms and then factor ...
- Math - Andrew factored the expression 28x^3-42x^2+35x as 7x(4x^2+6x-5). But when...
- math,correction - Can someone correct these for me plz... Problem#6 Factor. x(x-...
- Algebra - Andrew factored the expression 28x^3-42x^2+35x as 7x(4x^2+6x-5). But ...
- Math - factor each expression completely. if possible. Just checkin the * Ones 1...