+118608 $$2p^2-3p-54$$
first I would look for 2 numbers that mult to 2*-54=-108
since it mult to a negative one must be positive and the other one negative.
BUT they also have to add to -3 So the 'bigger' one will be neg and they must be close together. (3 apart.)
Now i am just going to 'play' with the factors of 108.
108=4*27 = 4*3*3*3=9*12 BINGO
-12 and +9
NOW
I will split -3p up into -12p+9p
$$\\2p^2-3p-54\\
=2p^2-12p+9p-54\\
$now factorise in pairs$\\
=2p(p-6)+9(p-6)\\
=(2p+9)(p-6)\\$$
And that is it :)
+118608 $$2p^2-3p-54$$
first I would look for 2 numbers that mult to 2*-54=-108
since it mult to a negative one must be positive and the other one negative.
BUT they also have to add to -3 So the 'bigger' one will be neg and they must be close together. (3 apart.)
Now i am just going to 'play' with the factors of 108.
108=4*27 = 4*3*3*3=9*12 BINGO
-12 and +9
NOW
I will split -3p up into -12p+9p
$$\\2p^2-3p-54\\
=2p^2-12p+9p-54\\
$now factorise in pairs$\\
=2p(p-6)+9(p-6)\\
=(2p+9)(p-6)\\$$
And that is it :)
