# I hate Factorization!

• Jan 20th 2009, 05:52 AM
isuckatmaths
I hate Factorization!
Q: Factorize 51y^2 - 2580y - 39879.

Many thanks.
• Jan 20th 2009, 06:31 AM
princess_21
Quote:

Originally Posted by isuckatmaths
Q: Factorize 51y^2 - 2580y - 39879.

Simplifying
51y2 -2580y -39879
First, you need to reorder the terms then factor the GCF that will be 3
3(-13293 + -860y + 17y2)
then factor a trinomial
3[(-211 -17y)(63 -y)]so the final result is3(-211-17y)(63 -y)
i'm not sure bout this. i just tried. you can check it.
• Jan 20th 2009, 07:59 AM
red_dog
$51y^2-2580y-39879=51(y-y_1)(y-y_2)$

where $y_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ and $a=51, \ b=-2580, \ c=-39879$
• Jan 20th 2009, 08:11 AM
Soroban
Hello, isuckatmaths!

This is The Trinomial From Hell (coming to a theater near you).

Quote:

Factor: . $51y^2 - 2580y - 39879$

Factor out 3: . $3(17y^2 - 860y - 13293)$

There are a number of ways to factor this ugly trinomial.
. .
I hope you know at least one.

Answer: . $3(x - 63)(17x + 211)$

• Jan 20th 2009, 08:15 AM
princess_21
Quote:

Originally Posted by Soroban
Hello, isuckatmaths!

This is The Trinomial From Hell (coming to a theater near you).

Factor out 3: . $3(17y^2 - 860y - 13293)$

There are a number of ways to factor this ugly trinomial.
. . I hope you know at least one.

Answer: . $3(x- 63)(17x + 211)$

:) change x to y
3(y- 63)(17y + 211)