Question

how to factor out by grouping 15x^2-34x+15

Answer 1

Traditionally, grouping is used when the expression has a degree of 3.

Answer 2

one way of doing:
find two number such that the product is 15x15 and sum is -34

Answer 3

BUT. :) I got it.

When you group, you need 4 terms to work with. So you need to split the middle term (-34x) into two terms:

15x^2 - 9x -25x + 15

Then group:
(15x^2 -9x) + (-25x+15)

Factor:
3x(5x-3) -5(5x-3)

Then finalize:
(3x-5)(5x-3)

:) phew almost didn't get that one

Answer 4

could you tell me how you splitted the term of -34 wombat

Answer 5

-34 = -9-25
Pretty much, I looked at the terms 15x^2 and 15

These numbers need something divisible by 3 or 5 (or in rare cases, 15)

So i looked for two numbers that add/subtract to get -34 that contained factors of 3 and/or 5

Answer 6

thank you

Answer 7

anytime :)

Answer 8

7x^2-19x-6=0

Answer 9

is this a new question?

Answer 10

yes

Answer 11

try 7x^2 - 14x - 3x -6 =0 and proceed the same way i did above :)

Answer 12

thanks again

Answer 13

sure :)