# How do you factor the expression 6x^2 - 33x + 15?

Apr 23, 2016

$3 \left(2 {x}^{2} - 11 x + 5\right)$

#### Explanation:

Here, I divided every set of numbers by $3$. This means the $3$ should go on the outside of the brackets that you need to put in when factorising expressions.

When $6 {x}^{2}$ is divided by $3$, it gives $2 {x}^{2}$. This goes at the beginning of the brackets.

When $- 33 x$ is divide by $3$, it gives $- 11 x$. This is put next to the $2 {x}^{2}$.

Finally, to finish off factorising, $+ 15$ divided by $3$ gives $+ 5$.

Write out the answers that you have worked out:

$3 \left(2 {x}^{2} - 11 x + 5\right)$