For this case we must factor the following expression:
[tex]6p ^ 2-17p-45[/tex]
We must rewrite the term of the medium as two numbers whose product is [tex]6 * (- 45) = - 270[/tex]
And whose sum is -17
These numbers are: -27 and +10:
[tex]6p ^ 2 + (- 27 + 10) p-45\\6p ^ 2-27p + 10p-45[/tex]
We group:
[tex](6p ^ 2-27p) + 10p-45[/tex]
We factor the maximum common denominator of each group:
[tex]3p (2p-9) +5 (2p-9)[/tex]
We factor[tex](2p-9)[/tex] and finally we have:
[tex](2p-9) (3p + 5)[/tex]
Answer:
[tex](2p-9) (3p + 5)[/tex]
