Question

Which of the following is a factor of 2x^4 + 22x^3 + 60x^2?

Answer 1

Take out the LCD of it:

So what is common between each of the terms?

Answer 2

they all can be divided by 2

Answer 3

What else?

Answer 4

they all have x values?

Answer 5

Yea. They can be divided by \[x^2\] actually. So combine that info to get a factor.

Answer 6

2x^2+22x+60

Answer 7

Then once you divide that out, the remaining is also a factor

Answer 8

you can take out a 2x^{2}

\[2x^2(x^2+11x+30)\]

Answer 9

then ask yourself what numbers that are factors of 30 when added together = 11
6 and 5

\[2x^2((x+6)(x+5))\]