Question

[Part 1 (4 points)] Show all work in simplifying (2x^2+8x-42)/(x^2+12x+35) Be sure to list restrictions.
[Part 2 (2 points)] Use complete sentences to explain your process.

Answer 1

Help @ranga

Answer 2

Factor the numerator and the denominator separately and see if any factor cancels out.

Answer 3

Ok thank you.

Answer 4

From the numerator first factor out 2 and then factor the remaining quadratic.

Answer 5

Ya, I got that far, but what are the restrictions? It's 2(x-3)/x+5 .

Answer 6

Please hurry!

Answer 7

After factoring we get: 2(x+7)(x-3) / { (x+7)(x+5) }.
Before canceling out the (x+7) we have to say the function is undefined when the denominator is zero.
So x cannot be -7 or -5.
Then we can cancel common factor and say it simplifies to 2(x-3)/(x+5) but x cannot be -7 or -5.

Answer 8

Thank you.

Answer 9

you are welcome.