Originally Posted by

**masters** Hi TYTY,

Here's one strategy you might find helpful.

$\displaystyle 6x^2+11x-35$

Multiply the leading coefficient (6) by your constant (-35) to get -210.

Next, try to come up with 2 factors that multiply to get -210 and sum to +11.

You may have to fiddle around a little to find them, but this one came to me right away. It's +21 and -10.

Replace the middle coefficient (-11) with these two numbers:

$\displaystyle 6x^2+21x-10x-35$

Now, group the first two terms and the last 2 terms and factor out the greatest common factor for each.

$\displaystyle 3x(2x+7)-5(2x+7)$

Use the distributive property to finish up.

$\displaystyle (3x-5)(2x+7)$