SOLUTION: When doing long division for 100 divided by 5 we get a quotient of 20 with no remainder. This implies that 5 and 20 are factors of 100 and we can write 100 = (5)(20). Using long

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: When doing long division for 100 divided by 5 we get a quotient of 20 with no remainder. This implies that 5 and 20 are factors of 100 and we can write 100 = (5)(20). Using long       Log On


   

Question 954308: When doing long division for 100 divided by 5 we get a quotient of 20 with no remainder. This implies that 5 and 20 are factors of 100 and we can write 100 = (5)(20). Using long division, determine if x - 2 is a factor of x2+ 2x - 8. If it is, identify the other factor and write
x2+ 2x - 8 as the product of (x - 2) and that other factor. You do not have to include the work of the long division here in this document, but you do have to write an explanation of how you arrived at the correct answer (after all this is a writing assignment =).

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Polynomial Division is not more difficult than Long Division for base-ten numbers. The process can be easier to understand as you see each part of the process. You still pay attention to place-value, and still look for numbers to subtract and count them as you form the parts of the quotient.

Either you know how or not know how to perform polynomial division. I will use factoring through trial inspection instead.

%28x-2%29%28x%2Bw%29=x%5E2%2B2x-8
system%28-2x%2Bwx=2x%2C+-2w=-8%29
system%28w-2=2%2Cw=4%29

Factorization is %28x-2%29%28x%2B4%29.

You are looking for the rational equation highlight%28%28x%5E2%2B2x-8%29%2F%28x-2%29=x%2B4%29.


REMINDED:
The question is a writing assignment. The tutors cannot or at least should not do the written explanation for you, but you could certainly use the discussed guidance to help in understanding how polynomial division is arranged and the parts of the formal process. Make use of quotient, divisor dividend, partial quotient, and any other instructive vocabulary that you want to use in your explanation. Really, you need to know how to do polynomial division, and try to describe the steps precisely/ as precisely as you can do.