SOLUTION: 15t^2-29t-14\ 3t-7 answer:5t+2 need a full break down of how my book got this answer i go as far as 15t\3t+5t and -14t/-7=+2 but what happened to the -29t in this equatio

Algebra.Com
Question 175435: 15t^2-29t-14\ 3t-7


answer:5t+2
need a full break down of how my book got this answer i go as far as 15t\3t+5t and -14t/-7=+2 but what happened to the -29t in this equation

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
15t^2-29t-14\ 3t-7
Factor to get:
(3t-7)(5t+2)/(3t-7)
= 5t+2
-------------
Proof:
(3t-7)(5t+2)
Use FOIL:
F: 3t*5t = 15t^2
O: 3t*2 = 6t
I: -7*5t = -35t
L: -7*2 = -14
------------------
Combine to get:
15t^2 -29t - 14
===================
So the -29t comes from combining the Outer and the Inner products.
====================
Cheers,
Stan H.

RELATED QUESTIONS

I am not sure if I did this right? If not, please explain how to do it?... (answered by Alan3354)
(2t^2-5t-4)(3t^2-7+1/2) Multiply and show work. Check Answer. This is what I did... (answered by richwmiller)
Complete each step of the factorization of the trinomial by grouping. 15t^2 - 11t - 12 (answered by Edwin McCravy)
{{{(t^3-19t +9)/(t-4)}}} answer: {{{ matrix(1,3,t^2+4t-3, "",r=-3) }}} need a full... (answered by stanbon,Edwin McCravy)
x^3 + 2x^2 - 5x + 12/ x+4 answer:x^2-2x+3 need a full break down of how my text... (answered by Mathtut)
y=3x and x + y=2 answer: 1/2, 3/2 wanted to know how my book got these fractions (answered by josmiceli)
systems by elimination 6x-7y=21 3x+7y=6 answer:(3, -3/7) need a full break (answered by jim_thompson5910)
8m^3 + 27/ 2m+3 answer:4m^2-6m+9 need a full break down of how my book got... (answered by nerdybill)
x^2 + 2x= 3/4=0 answer x= -3/2 or -1/2 need a full break down of how my book... (answered by Alan3354)