Question

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

a. 2x*3
b. x*4
c. x+4
d. x+5

Answer 1

@pooja195

Answer 2

First, what is the biggest factor of the coefficients, 2 , 22 , 60 ?

Answer 3

60

Answer 4

no, you can not take a multiple of 60 out of 2 or 22

Answer 5

2 is the largest thing that can divide evenly into all three of those

Answer 6

so you can say
\[2x^4+22x^3+60x^2 = 2*(x^4+11x^3+30x^2)\]

Answer 7

yeah

Answer 8

now, since you have just x variables, the greatest one you can pull out of all three will be the smallest power, only if every term has x, like here

Answer 9

\[2*(x^4+11x^3+30x^2) = 2x^2*(x^2+11x+30)\]

Answer 10

see that?

Answer 11

Really are just multiplying the thing by x^2 / x^2 or 1, and keeping the numerator out front, and dividing everything by the x^2

Answer 12

Now since 2x^2 is not an answer, look further, factor the remaining ( ) part