Question

Solve the quadratic equation m2+ 2m - 24 = 0 by factoring.

Answer 1

Do you know how to factor?

Answer 2

I think I was taught one but I don't remember.

Answer 3

m2+ 2m - 24 = 0
4m-24=0
4m=24
m=24÷4
This is the only way I know how to solve it sorry

Answer 4

I think that the question messed up. The first m2 is supposed to be m^2.

Answer 5

m^2 +2m -24 =0

solve by factoring mean that you need getting two numbers with sum equal 2 and product equal -24 - can you get them ?

Answer 6

No.

Answer 7

To factor a quadratic trinomial of the type

x^2 + ax + b = 0,

find two numbers whose product is b and whose sum is b.

Answer 8

you know that

x+y=2
x*y=-24

can you calculi the x and y ?

Answer 9

Let's look at your problem.

To factor
m^2+ 2m - 24 = 0

find two numbers that multiply to -24 and add to 2.

Answer 10

Can you list several sets of two numbers that multiply to -24?
Here is an example: -24, 1
Can you list other sets of two numbers that multiply to -24?

Answer 11

Yes. In other words, look at the constant term, -24, and determine its factors. Which of these two factors combine to give you the middle term, 2m?

Please show your work. Factors of -24 are ... ?

Answer 12

2,12, 4,6

Answer 13

None of those add up to 2

Answer 14

nvm I figured it out. Its -4, 6

Answer 15

@16silly do you know negativ numbers ?

Answer 16

Good.
Since the product has to be negative, each set of numbers yields two results:

Here are all the possible sets of two integers that multiply to -24
-24, 1
-1, 24
-2, 12
-12, 2
-4, 6
-6, 4
-3, 8
-8, 3

Answer 17

I got it.

it is -4 and 6

Answer 18

Now factor your equation. Check your work by substituting -4 and 6. Is the equation true when you do this (one value at a time)?

Answer 19

Now you add both numbers in each set, and choose the one that adds to 2.
You already did it.
-4, 6
Good.

Answer 20

I forgot it was -24

Answer 21

To factor, you set up two sets of parentheses, and fill in the variabkle, m, in each:

(m )(m ) = 0

What goes int he blanks is the numbers you found, so you get:

(m + 6)(m - 4) = 0

The order does not matter because of the commutative property of multiplication.

You can also write

(m - 4)(m + 6) = 0

Answer 22

The factoring part is done.
Do you understand it so far?

Answer 23

Yes

Answer 24

Since you have a product that equals zero, you set each factor equal to zero and solve each equation.

(m - 4)(m + 6) = 0

m - 4 = 0 or m + 6 = 0

Solve each equation for m.
The solution is both of the values you get separated by the word "or".

Answer 25

@16silly: what are the solutions? List them, please.