Question

Slove x2+9x+14=0 by using factoring formula

Answer 1

Hey do you know how to factor?

Answer 2

No I don't I forgot :(

Answer 3

Can you explain me it

Answer 4

So we look at the last number, what numbers go into 14 and can be added to 9? because the + is before the 14 makes it + if it was - then a number subtracted that equals to 14

Answer 5

7 can go into 14?

Answer 6

can it be added to 9?

Answer 7

No I don't think so

Answer 8

7*2=14 correct?

7+2?

Answer 9

=9

Answer 10

Great so when it + and + its the same so how would we put this?

Answer 11

so we break down x2 into

(x+_)(x+_)

Answer 12

(x+_)(x+_)=0

Answer 13

Here's what jagr said earllier: "So we look at the last number, what numbers go into 14 and can be added to 9." To clarify this: Identify FACTORS of the last coefficient (14) and lilst them: 1, 2, 7, 14. Next, choose from this set of numbers the two that ADD UP to 9.

Answer 14

Note that the 14 is called "the constant term," and that that 9 "the coefficient of the middle term."

Answer 15

Yes, when we have a neg and pos, the number next to the last number will be NEG because + means same and - means different

Answer 16

X+7 and x+3

Answer 17

Where did you get 3?

Answer 18

X+7 and x+9?

Answer 19

No, ok lets start over,

Ok we look at the last number which is 14. So what number that goes into 14 that CAN be added to get 9.

So how 9 is the second number, we are trying to get from 14

Answer 20

Is it 2 because 7*2=14 and 7+2=9

Answer 21

Correct so what do we get?

Answer 22

Your reasoning is good, appropriate, but what are you asking in "Is it 2?"
What are the two binomial factors? Have you checked your work by multiplying these factors together?

Answer 23

So we get (X+7)(x+2)=0

When we have the "=0" all we do is put it = to 0 like this

x+7=0 and x+2=0

solve :D

Answer 24

therefore, the two "solutions" of the given equation are x= ? and x= ?

Answer 25

check these in the original equation, to be sure.

Answer 26

So x= -7 and X= -2

Answer 27

Yes. If you substitute these back into your original equation, one at a time, your equation should be TRUE. Nice work!

Answer 28

Thank you very much :)

Answer 29

My great pleasure. Appreciate your interest and desire to do well!

Answer 30

Can you help me on 1 more pls?

Answer 31

x2-8x=33