Question

Factor this trinomial completely. 3x^2 - 18x + 24

Answer 1

This question can be factorized:

`\begin{gathered} 3x^2-18x+24 \\ a* c=3*24=72 \\ b=-18 \\ \\ We\text{ will think of two numbers that when we add together, the sum will } \\ be\text{ -18, and when we find thier product the result will be 72} \end{gathered}`

The two numbers are -12 and -6, and we will replace -18 with the two numbers and factorize completely:

`\begin{gathered} 3x^2-12x-6x+24 \\ 3x(x-4)-6(x-4) \\ (3x-6)(x-4)_{} \end{gathered}`
`3(x-2)(x-4)`