Question

Find the quotient.

(6x2 - x - 40) ÷ (5 + 2x)


8 - 3x
3x + 8
3x - 8

Answer 1

first can you simplify 6x^2/2x?

Answer 2

One way to figure this out is using your answer choices, and foiling it with (5+2x) to see if you get back 6x^2-x-40.

Answer 3

3x^2??? @freckles

Answer 4

well x^2/x isn't x^2

Answer 5

but the 3 part is right

Answer 6

\[\frac{6x^2}{2x}=\frac{6}{2} \frac{x^2}{x} =\frac{6}{2} \frac{x \cdot x}{x}= \frac{6}{2} \frac{x \cdot x}{x \cdot 1} =\frac{6}{2} \cdot \frac{x}{x} \cdot \frac{x}{1}=?\]

Answer 7

I'm not sure...

Answer 8

6/2=3
x/x=?

Answer 9

and x/1=x of course
since anything divided by 1 is the anything

Answer 10

but x/x=1 don't you agree?

Answer 11

isn't anything divided by itself 1?

Answer 12

Yes

Answer 13

such as 5/5=1
6/6=1
and so on...

Answer 14

\[\frac{6x^2}{2x}=\frac{6}{2} \frac{x^2}{x} =\frac{6}{2} \frac{x \cdot x}{x}= \frac{6}{2} \frac{x \cdot x}{x \cdot 1} =\frac{6}{2} \cdot \frac{x}{x} \cdot \frac{x}{1}=3(1)x=3x\]

Answer 15

or you could have simplify it using your rules
\[\frac{6x^2}{2x}=\frac{6}{2} \frac{x^2}{x}=\frac{6}{2} \frac{x^2}{x^1}=3x^{2-1}=3x^1=3x\]

Answer 16

so this is what we have so far