Question

divide: (8x^3+12x^+14x-10) / (2x)
a. 4x^2+6x+7-5/x
b. 4x^2+6x+7-5
c. 6x^2+10x+12-5/2x
d. 4x^2+12x+7-5/x

Answer 1

what is the GCF of the terms in the numerator?

Answer 2

what numerator?

Answer 3

the terms 8x^3+12x^2+14x-10 are all in the numerator

Answer 4

but the equation isnt written as a fraction its the division symbol so would i still make that the numerator?

Answer 5

a fraction symbol is a division symbol, they're both the same.

Answer 6

1/2 = one half = 0.5

Answer 7

ohh okay.. i dont know how to get the GCF for the numerator

Answer 8

what is the GCF of 8, 12, 14, and 10?

Answer 9

2 or 4?

Answer 10

it's 2

Answer 11

so you can factor out this GCF from the numerator

to go from

8x^3+12x^2+14x-10

to

2(4x^3+6x^2+7x-5)

Answer 12

so do i divide 2 from the parenthesis's?

Answer 13

yes the two's will cancel out

Answer 14

4x^2+6+7-x^5 or 4x^2+6+7-x^5/x
i think its the second one?

Answer 15

oh i see what they did, very strange move, but I guess it works

Answer 16

they factored a 2x from the first three terms to get

2x(4x^2+6x+7)

Then they canceled the 2x terms


This means

(8x^3+12x^2+14x-10)/(2x)

becomes


4x^2+6x+7 - 10/(2x)


Then they reduced -10/2x to get -5/x


so the final answer is 4x^2+6x+7 - 5/x, which is choice A

Answer 17

okay thanks alot

Answer 18

yw