1. ## Factoring quadratics

For example:
$
6x^2 +11x -35
$

I've been doing this by trial and error but it takes too long. I tried googling "factoring quadratics" but when it comes to examples like this, they just use the quadratic equation to find the values of x assuming the whole equation was equal to zero in the first place. I don't think this helps me.

I need the answer in the form (....)(....) and I don't think the answer on, for example,
Solving Quadratic Equations: Examples, does that
. What I need is the strategy to find this. I know I'm going to need +7. -5 or -7, +5 at the ends but from there I just have to try so many combinations.

2. Try this lesson on factoring quadratics.

(The posted link was for solving equations, rather than factoring expressions.)

3. Originally Posted by stapel
Try this lesson on factoring quadratics.

(The posted link was for solving equations, rather than factoring expressions.)
yes this looks exactly like what I am looking for

4. There is a quadratic formula, to find the roots. Google Quadratic formula. I personally prefer factoring tho

5. Originally Posted by TYTY
For example:
6x2 + 11x – 35

I've been doing this by trial and error but it takes too long. I tried googling "factoring quadratics" but when it comes to examples like this, they just use the quadratic equation to find the values of x assuming the whole equation was equal to zero in the first place. I don't think this helps me.

I need the answer in the form (....)(....) and I don't think the answer on, for example, Solving Quadratic Equations: Examples, does that. What I need is the strategy to find this. I know I'm going to need +7. -5 or -7, +5 at the ends but from there I just have to try so many combinations.
Hi TYTY,

Here's one strategy you might find helpful.

$6x^2+11x-35$

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:

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

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

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

Use the distributive property to finish up.

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

6. Originally Posted by masters
Hi TYTY,

Here's one strategy you might find helpful.

$6x^2+11x-35$

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:

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

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

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

Use the distributive property to finish up.

$(3x-5)(2x+7)$
Excellent explanation.