• Mar 6th 2010, 09:09 PM
likewhoa
2xsquared + 19x + 24 = 0

can someone help me with this question I need some kind of direction. Im thinking you have to multiply the 2squared with the 24 and try to come up with 2 numbers that would equal to 19?
• Mar 6th 2010, 10:24 PM
Prove It
Quote:

Originally Posted by likewhoa
2xsquared + 19x + 24 = 0

can someone help me with this question I need some kind of direction. Im thinking you have to multiply the 2squared with the 24 and try to come up with 2 numbers that would equal to 19?

That is what you do. So you need two numbers that multiply to become $48$ and add to be $19$.

The numbers are $16$ and $3$

So $2x^2 + 19x + 24 = 0$

$2x^2 + 16x + 3x + 24 = 0$

$2x(x + 8) + 3(x + 8) = 0$

$(x + 8)(2x + 3) = 0$.

Now use the Null Factor Law to solve for $x$.