Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Algebra 2 problems?! Help Please!?
Please help factor the problem 4x^3-12x^2-x+15=0. I need all real solutions to the polynomial in simplest form (no decimals) by any method. Help?!
2 Answers
- ?Lv 71 decade agoFavorite Answer
4x^(3)-12x^(2)-x+15=0
Factor the polynomial using the rational roots theorem.
(x+1)(x-(3)/(2))(x-(5)/(2))=0
Set each of the factors of the left-hand side of the equation equal to 0.
x+1=0
x-(3)/(2)=0
x-(5)/(2)=0
Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides.
x=-1
x-(3)/(2)=0
x-(5)/(2)=0
Set each of the factors of the left-hand side of the equation equal to 0.
x=-1
x-(3)/(2)=0
x-(5)/(2)=0
Since -(3)/(2) does not contain the variable to solve for, move it to the right-hand side of the equation by adding (3)/(2) to both sides.
x=-1
x=(3)/(2)
x-(5)/(2)=0
Set each of the factors of the left-hand side of the equation equal to 0.
x=-1
x=(3)/(2)
x-(5)/(2)=0
Since -(5)/(2) does not contain the variable to solve for, move it to the right-hand side of the equation by adding (5)/(2) to both sides.
x=-1
x=(3)/(2)
x=(5)/(2)
The complete solution is the set of the individual solutions.
x=-1,(3)/(2),(5)/(2)
