Question

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

Answer 1

`3(2x^2 - 11x + 5)`

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 `6x^2` is divided by `3`, it gives `2x^2`. This goes at the beginning of the brackets.

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

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

Write out the answers that you have worked out:

`3(2x^2 - 11x + 5)`