Aoife M.

asked • 12/02/19# i need help on an algebra 2 question on dividing polynomials?

my algebra 2 teacher is not the best-- he just can't teach and almost all of my class fails every test because so. anyways, I'm a little perplexed on one question we've got to do for homework:

"Divide. write your answer in fraction form."

(2x^5 - 15x^3 - 9x^2 +11x + 12) / (x + 2)

the way i've been taught, we're supposed to do long division. i've gotten so far as to reaching 2x^4 -2x^3 for my answer but I just know it's got to be wrong. if anyone can help, it'd truly open my eyes a lot more.

## 3 Answers By Expert Tutors

David W. answered • 12/03/19

Experienced Prof

2x^4 - 4x^3 - 7x^2 + 5x + 1 + 10/(x+2)

--------------------------------------------------------------------

x + 2 | 2x^5 + 0x^4 - 15x^3 - 9x^2 +11x + 12

2x^5 + 4x^4

--------------------------

- 4x^4 - 15x^3

- 4x^4 - 8x^3

-------------------------

- 7x^3 - 9x^2

- 7x^3 -14x^2

------------------------

5x^2 + 11x

5x^2 + 10x

------------------------

x + 12

x + 2

-------------------------

10

Paul M. answered • 12/03/19

BS Mathematics, MD

It is impossible, using this editor, to write the steps to answer this question.

You do this kind of division in EXACTLY the same way you do numerical long division.

I will write the answer I get...maybe that will give you a clue.

2x^{4} - 4x^{3} - 7x^{2} + 5x + 1, remainder 10

Remember that there is no term in x^{4} in the dividend!!!!

Also remember that the remainder is equal to the dividend evaluated at x=-2.

Mark M. answered • 12/03/19

Mathematics Teacher - NCLB Highly Qualified

2x^{4} + 4x^{3} + 7x^{2} + 5x + 1

x + 2 | 2x^{5} + 0x^{4} - 15x^{3} - 9x^{2} + 11x + 12

2x^{5} + 4x^{4}

- - 4x
^{4}- 15x^{3}

4x^{4} - 8x^{3}

- - 7x
^{3 }- 9x^{2} - + 7x
^{3}+ 14x^{2}

5x^{2} + 11x

5x^{2} + 10x

x + 2

x + 2

12

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John B.

12/02/19