Question

2.What is the factored form of x^2 + 6x + 8? (1 point)
(x + 5)(x + 3)
(x + 4)(x + 2)
(x + 7)(x + 1)
(x + 3)(x + 3)
3.What is the factored form of x^2 – 7x + 12? (1 point)
(x – 5)(x – 3)
(x – 6)(x – 1)
(x – 5)(x – 2)
(x – 4)(x – 3)
4.The area of a garden is given by the trinomial g^2 – 2g – 24. The garden’s length is g + 4. What is the garden’s width?
g – 2
g – 6
g – 8
g + 2

Answer 1

Do you know how to apporach the problem at all?

Answer 2

No I don't. I haven't been to class and I don't understand any of them.

Answer 3

Well, to factor a quadratic with a leading coefficient of 1 only requires you to look at the last term, and find factors of the last term which add or subtract to the ceofficient of the middle term.

Answer 4

So, let's take a look at the first problem. The fzctors of the last number 8 are 1,and 8; or 2 and 4. Of those combinations, which are the ones which add to 6, the coeffiicient of your middle term?

Answer 5

factors*

Answer 6

2 and 4 equals 6

Answer 7

That's correct. So, now we need to find the choice in your list of choices that has both a +2 and a +4 in the factors.

Answer 8

Which one is it?

Answer 9

So it is answer B

Answer 10

You got it!. Now, as a hint to the second one, when your last number is positive but the coefficient of the middle term is negative, both of your factors must be negative.

Answer 11

So you want two factors of 12 which add to give you a -7. What are they?

Answer 12

#4.You have g^2-2g-24=(g+4)*width
So the width has to be g+or- a number to get something starting with g^2
It has -24 so the number has to be -6 as 4*-6=-24
So the answer is g-6
You can check by expanding the bracket (g+4)(g-6)

Answer 13

Thanks seiga, but I was trying to get her to understand how to factor on her own instead of just giving her the answer!

Answer 14

Um, i can't find it. I'm not good with negative numbers.

Answer 15

Well, can you give me two numbers which have a product of 12 and a sum of 7?

Answer 16

lol sorry

Answer 17

4 and 3

Answer 18

Good. Now since I said they both had to be negative that means the factors of 12 that add to a negative 7 are ?

Answer 19

so it would be -4 and -3 so the answer is D

Answer 20

There you go!

Answer 21

Thanks for helping me

Answer 22

You are welcome.

Answer 23

1. Which number makes this equation true?
v2 + 10v + 16 = (v + 8)(v + ?)

(1 point)
Correct answer (1 pt) 2
Unselected answer (0 pts) 4
Unselected answer (0 pts) 6
Unselected answer (0 pts) 8
1 /1 point
2. What is the factored form of x2 + 6x + 8? (1 point)
Unselected answer (0 pts) (x + 5)(x + 3)
Correct answer (1 pt) (x + 4)(x + 2)
Unselected answer (0 pts) (x + 7)(x + 1)
Unselected answer (0 pts) (x + 3)(x + 3)
1 /1 point
3. What is the factored form of x2 – 7x + 12? (1 point)
Unselected answer (0 pts) (x – 5)(x – 3)
Unselected answer (0 pts) (x – 6)(x – 1)
Unselected answer (0 pts) (x – 5)(x – 2)
Correct answer (1 pt) (x – 4)(x – 3)
1 /1 point
4. The area of a garden is given by the trinomial g2 – 2g – 24. The garden’s length is g + 4. What is the garden’s width? (1 point)
Unselected answer (0 pts) g – 2
Correct answer (1 pt) g – 6
Unselected answer (0 pts) g – 8
Unselected answer (0 pts) g + 2
1 /1 point

The final score is 4/4 (100%).