Question

If 6x^2 + 5x - 6 = (6x + m)(x - n) for all values of x, then the value of m could be
A. -9
B. -4
C. 4
D. 5
E. 6

Answer 1

First expand (6x+m)(x-n)

Answer 2

I have no idea.

Answer 3

Foil

Answer 4

I'm going to need step-by-step help on this one.

Answer 5

Do you know FOIL? How about distributive property?

Answer 6

I've heard about foil, but can't remember what it stands for.

Answer 7

First
Outer
Inner
Last

Answer 8

My, mom is almost home so I have to go. I probably be here tomorrow. Bye, thanks for the help on the last question.

Answer 9

*I'll

Answer 10

I at least became both of you fans.

Answer 11

@wio can you still help?
I realized that I actually don't know how to do this either >,<

Answer 12

Bye sorry that I have to go.

Answer 13

see ya ;)

Answer 14

Do you want to do the problem jiggly?

Answer 15

yeah :)
so 6x^2 - 6xn + mx - mn now what?

Answer 16

Now put it in the form (...)x^2 + (...)x + (...)
However (...) should not contain any x in it.

Answer 17

so 6x^2 - (6n - m)x - mn

Answer 18

(6)x^2 - (6n - m)x - (mn) = (6)x^2 - (-5)x - (6)

Answer 19

6=6
6n-m = -5
mn = 6

Answer 20

To solve for m, we isolate n:
n = 6/m
Then put it into other equation
6(6/m) - m = -5

Answer 21

I assume you did foil correctly.

Answer 22

ooohhhhhh!!!

yeah so
36 - m^2 = -5m
then m^2 - 5m - 36 = 0
(m - 9) (m + 4) = 0
ok, that works! thanks! :D

Answer 23

Good job guys. You both are so smart, I couldn't have done that.

Answer 24

wio's smarter ;)