Question

Choose two trinomials from the list below to factor. Using complete sentences, explain how to factor each one. Be sure that the final factorization (or "answer") is a part of your explanation.


2x2 + 13x + 15
2x2 + 27x + 13
5x2 − 2x − 7
10x2 − 7x − 3
8x2 − 11x + 3

Answer 1

@shannon342

Select one of these, and I'll show you how to get started. Then, you can choose a second one and factor it. Okay?

Answer 2

ok i choose 8x^2-11x+3 and 5x^2 -2x-7

Answer 3

@Directrix

Answer 4

I am choosing this one --> 8x^2-11x+3

Answer 5

8x²-11x+3 is a trinomial with general expression a*x² + b*x + c.

In 8x²-11x+3, a = 8, b = -11, and c = 3.

To factor 8x²-11x+3 by grouping, two numbers that multiply to a*c and add to b are required.

So, the first task is to find two numbers that multiply to 8*3 and add to -11.

Two such numbers are -8 and -3.

Next, ....

Answer 6

... break apart the -11*x into -8*x and -3*x.

That gives 8x²-11x+3 = 8x² -8x -3x+3.

Answer 7

8x² -8x -3x+3 =

8x*(x - 1) - 3*(x - 1) --> This is the start of factoring by grouping.

Answer 8

Notice that (x - 1) is a factor of both 8x*(x - 1) and - 3*(x - 1).

(x - 1)* [ 8x - 3 ] is now the factored form of 8x²-11x+3.

@shannon342

Answer 9

whoa thats alot yeah i see that

Answer 10

Well, the instructions said to write an explanation in sentences.

You are up for the factorization of the second polynomial! @shannon342

Answer 11

ok

Answer 12

was that the answr

Answer 13

or do u want me to finish it?

Answer 14

8x²-11x+3 = (x - 1)*( 8x - 3 )

Answer 15

This is the one for you to factor and tell how to do it in complete sentences. So, the problem is at this moment only 50% done.


Yours --> 5x^2 -2x-7


>>>Choose two trinomials from the list below to factor - You chose two. I did one, and we agreed that you would do the second.

Answer 16

can we work the second one together? :)

Answer 17

@Directrix

Answer 18

This is the deal we made.

>> Select one of these, and I'll show you how to get started. Then, you can choose a second one and factor it. Okay?

>>>ok i choose 8x^2-11x+3 and 5x^2 -2x-7

I did mine. Now, it's time for you to start on yours. You can use mine as a pattern for yours.

Answer 19

ok

Answer 20

thanks

Answer 21

If you get started, then I can check what you write.

Answer 22

okay :)

Answer 23

5x^2-2x-7 a=5 b=-2 c= -7

Answer 24

= to (5x-7)(x+1)?

Answer 25

@Directrix

Answer 26

The factorization is correct but I don't know about the complete sentence explanation stuff.

Answer 27

its fine thanks for ur help

Answer 28

Alrighty, then. You're welcome.