Question

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Answer 1

This is a factoring trinomials problem. Tell me how you would usually solve this sort of problem?

Answer 2

You can either:
Factor By Grouping
Complete The Square or
Use the Quadratic Formula.

Answer 3

But for this problem however, we'll be factoring by grouping. What is your understanding of this so far?

Answer 4

Nothing. I missed a school day and this is in my packet. I tried looking online but I wasn't sure what this was called.

Answer 5

Here are the steps to solve: (give me 2 mins)

Answer 6

Okay.

Answer 7

2.1 Factoring x^2-15x+50

The first term is, x^2 its coefficient is 1 .
The middle term is, -15x its coefficient is -15 .
The last term, "the constant", is +50

Step-1 : Multiply the coefficient of the first term by the constant 1 • 50 = 50

Step-2 : Find two factors of 50 whose sum equals the coefficient of the middle term, which is -15 .

-50 + -1 = -51
-25 + -2 = -27
-10 + -5 = -15 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and -5
x2 - 10x - 5x - 50

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-10)
Add up the last 2 terms, pulling out common factors :
5 • (x-10)
Step-5 : Add up the four terms of step 4 :
(x-5) • (x-10)
Which is the desired factorization

Final result :

(x - 5) • (x - 10)

Answer 8

You can always check your work by distributing/FOILing

Answer 9

Also, if you need more help on the basics of this, please go to:

Answer 10

https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions/v/factoring-trinomials-with-a-common-factor

Answer 11

Khan academy is an awesome reliable source to help you out. Any Q's? :)

Answer 12

I'm just gonna have to read through all of that to make sure I understand it. I really appreciate you writing all of that out and for the website too. :)

Answer 13

No problem! Tag me if you need more help with factoring polynomials! (It's my specialty haha)