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I need help to solve these questions step by step, PLEASEEE THIS DUES TODAY

I need help to solve these questions step by step, PLEASEEE THIS DUES TODAY-example-1
User Hana
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2 Answers

6 votes
10.

6x^3 - x^2 -12x

Let’s go ahead and factor out an x:

x ( 6x^2 - x - 12)

Rewrite the 1st degree x as a difference of two values that have similar factors to 6 and 12:

x ( 6x^2 + 8x - 9x - 12 )

Factor out 2x from ( 6x^2 + 8x ):

x ( 2x ( 3x + 4) (-9x - 12) )

Factor out -3 from ( -9x - 12 ) to get the same:

x ( 2x ( 3x + 4 ) - 3 ( 3x + 4) )

Group these for your final factored form:

x (2x -3) (3x+4)

11.

Right off the bat, 8 is a factor of both 32 and 24, so divide these leading coefficients by 8:

8m^3n^2 - 32m^2n^3 + 24mn^4

m^3n^2 - 4m^2n^3 + 3mn^4

Factor out one m:

m ( m^2n^2 - 4mn^3 + 3n^4)

Now factor out an n^2:

mn^2 ( m^2 - 4mn + 3n^2)

This is the final factored form.

13.

Factor out an x:

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

Rewrite 5x as a difference of two terms that will factor well with 2 and 3:

x ( 2x^2 + 6x - x - 3)

Now factor out a 2x:

x ( 2x ( x + 3 ) - x - 3 )

Now factor the other part so that what’s left matches the previous factor:

x ( 2x (x + 3) -1 (x +3) )

Now group these for the final factored form:

x ( 2x - 1 ) ( x + 3 )
User Superole
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8.1k points
6 votes
9. 3(2r+s) (r+s)
10. x(3x+4) (2x-3
11. 8mn^2 (m-n) (m - 3n)
12. 3(5x - 2y)(2x + y)
13. x(2x - 1)(x + 3

hope this helps
User Steve Jiang
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8.3k points

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