How to factor 2x^2+22x+48

I am unable to find this, although I understand for the most part how to factor trinomials.

Question

How to factor 2x^2+22x+48

I am unable to find this, although I understand for the most part how to factor trinomials.

kinged · Answer

Just factor out 2

kinged · Answer

Divide the whole expression by 2 first

phi · Answer

2x^2+22x+48
$$ 2(x^2+11x+24)$$

list all ways to get 24:
1,24
2,12
3,8
4,6

we want a pair with the same sign, both +, that add to 11

kinged · Answer

You don't need to write as$$2(x ^{2}+11x+24) since the \left hand side is probably zero.$$

phi · Answer

when you factor the expression, you do keep the 2

if you were solving an equation where the right-hand side is 0, then yes, you could simplify by dividing both sides by 2.  That is not the case if you are just factoring an expression.

phi · Answer

sometimes you factor , so that you can simplify a fraction.  for example

$$ \frac{2x^2+22x+48}{x+3} $$

republican31 · Answer

Thank you all! I didn't understand that I had to divide by the greatest common factor first!

kinged · Answer

Which is why I wrote probably.