Question

factor. 2p^3 + 6p^2 + 3p + 9

Answer 1

Factor by grouping.
Factor out a common factor out of the first two terms.
Factor out a common factor out of the last two terms.
'What do you get?

Answer 2

Solve each quadratic equation. Show your work.


14. (2x – 1)(x + 7) = 0


15. x + 3x = 10

Answer 3

i solved it on my own. can you help with these though?

Answer 4

In 14. the polynomial is already factored and set equal to zero.
Just set each factor equal to zero and solve.

Answer 5

im confused

Answer 6

14. (2x – 1)(x + 7) = 0
2x - 1 = 0 or x + 7 = 0
Solve each equation above.

Answer 7

what

Answer 8

In 14., a product can only equal zero if one of its factors is zero.
You are given the product of two factors (2x - 1) and (x + 7) is equal to zero.

Answer 9

The only way a product can equal zero is if at least one of the factors is equal to zero.

Answer 10

so thats the answer?

Answer 11

(2x – 1)(x + 7) = 0
Set 2x - 1 = 0 and set x + 7 = 0
Now solve each equation above.

Answer 12

Can you solve 2x - 1 = 0 ?

Answer 13

add 1 to both sides and divide by 2?

Answer 14

Yes.
Then solve x + 7 = 0

Answer 15

-2?

Answer 16

The solution is the two answers you got separated by the word "or".

Answer 17

-7

Answer 18

2x - 1 = 0
2x = 1
x = 1/2

x + 7 = 0
x = -7

Solution: x = 1/2 or x = -7

Answer 19

thankyou. number 15?

Answer 20

In 15. is the first x supposed to be x^2, or is it correct the way you have it?

Answer 21

You wrote:
15. x + 3x = 10

Answer 22

its x^2+3x=10

Answer 23

Ok. The first step is to subtract 10 from both sides to have all terms on the left side equaling zero.

Answer 24

but the 10 is separate already

Answer 25

Yes, but you don't want it separate.
You need it on the left side as -10.
You need just zero on the right side.

Answer 26

x^2+3x-10=0??