Question

alright, can someone help me ?

Answer 1

With what?

Answer 2

what this man, i dont understand.

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

Answer 3

2x^2+8x-42 / X^2+12x +35

= 2x^2+14x-6x-42 / X^2+7x+5x+35
[ By splitting 8x so that its product is ‘2x^2 * -42’ and 12x in a way such that its
product is ‘x^2*35’]

= 2x(x+7)-6(x+7) / X(x+7) +5(x+7)

= (2x-6) (x+7) / (x+5) (x+7) [ cancel (x+7) from numerator and denominator]

= 2x-6 / X+5

Answer 4

you lost me there, i dont understand the first step

Answer 5

My bad, we first split 8x.

Answer 6

what do you mean by splitting 8x ?

Answer 7

I cannot explain this in words my dear friend, i am very sorry, i hope someone else could help you.

Answer 8

sorry dude, what he meant is factorize each line
so top line 2x^2 + 8x - 42
=2 (x - 3) (x + 7)
du u understand factorization?

Answer 9

like the reverse of FOIL technique...?

Answer 10

@Jack1 Yes that is what I meant. Thank you.

Answer 11

all good dude

Answer 12

why is it x-3 and x+7 ?

Answer 13

ok, if u multiply out (2x - 6) by (x+7) u get...?

Answer 14

itll equal the 42 that is on the top part

Answer 15

no, using FOIL technique you'll get:
(2x - 6) by (x+7)
=2x * x + 2x * 7 + -6 * x + -6 * 7
=2x^2 + 14x - 6x - 42
= 2x^2 + 8x - 42

Answer 16

so when u factorise a polynomial (ax^2 + bx + c)
your answer will be in the form of (3x + 7 ) times (2x - 5) or something similar

Answer 17

so to do this question properly, u need to learn the rules for factorization properly
so maybe checkout:
http://www.purplemath.com/modules/simpfact.htm
http://www.sosmath.com/algebra/factor/fac02/fac02.html
so u understand it a bit better...

Answer 18

anyways, the steps @Dhroov took before is:
factor the top line
factor the bottom line
find a similar factor top and bottom, which then cancel each other out
that your left with is lowest common denominator
= answer as a fraction, the only way u can get smaller is if u divide with remainders, which u shouldn't have to learn

Answer 19

but yeah, study up on factoring polynomials and FOIL method... u'lll be doing A LOT of it @spidey