Print Factoring a polynomial by grouping: Problem type 1

User Generated

Oregb420

Mathematics

Description

2u^3+7u^2-12u-42

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Explanation & Answer

According to given question


2u^3+7u^2-12u-42

Raise  u to the  2nd power
(((2•(u3))+(7•u2))-12u)-42
 Raise  u to the  3rd power
(((2 • u3) +  7u2) -  12u) -  42
Simplify   2u3+7u2-12u  -  42
 2u3+7u2-12u-42  is not a perfect cube

  Factoring:  2u3+7u2-12u-42

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -12u-42
Group 2:  2u3+7u2

Pull out from each group separately :

Group 1:   (2u+7) • (-6)
Group 2:   (2u+7) • (u2)
  -------------------
Add up the two groups :
 (2u+7)  •  (u2-6)

Answer 

Best Of Luck


Anonymous
I was struggling with this subject, and this helped me a ton!

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