Aoife M.

asked • 12d# 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 • 11d

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 • 12d

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 • 12d

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.

12d