Question

I would like to know, step by step, how to factor this trinomial:

24x^2+6x-30

Answer 1

each term contains a multiple of 6... so that means 6 is a common factor

6(4x^2 + x - 5)

in this question multiply the coefficient of x^2 and the constant

4 * -5 = -20

then find the factors of -20 that add to 1...... 5, -4

6(4x + 4)(4x + 5)
-----------------------------
4

you'll find there is a common factor in the binomials that can cancel..

6*4(x + 1)(4x + 5)
-----------------
4

cancel the 4 leaves 6(x + 1)(4x + 5)

Answer 2

hah
thx guys
i gave ze medal ;)