SOLUTION: Factor each polynomial completely, given that the binomial following it is a factor of the polynomial.
x^3+2x^2-5x-6, x+3
Elementary and Intermediate Algebra
Chapter 5 - Facto
Algebra.Com
Question 134593: Factor each polynomial completely, given that the binomial following it is a factor of the polynomial.
x^3+2x^2-5x-6, x+3
Elementary and Intermediate Algebra
Chapter 5 - Factoring
Found 2 solutions by solver91311, vleith:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use polynomial long division to divide into
goes into times, so is the first term of the quotient.
times is .
Subtract from and get
Bring down the to form
goes into times, so becomes the second term of the quotient.
times is
Subtract from and get
Bring down the to form
goes into times, so becomes the third term of the quotient.
times is
Subtract from and get 0. So you have verified that is a factor. Now put the quotient together:
and , so the trinomial quotient factors to:
Therefore:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Given: and is a factor
Divide just the same way you would using arithmetic
Ask How many times does the (x+3) go into (x^3 +2x^2) ?? x^2 times
x^3 + 2x^2 - 5x -6
x^3 + 3x^2
----------------------
-x^2 - 5x - 6 How many times does (x+3) go into -x^2 - 5x? -x
-x^2 - 3x
---------------
-2x - 6 How many times does (x+3) go into this? -2
-2x - 6
------
0
Use this site to check yoyr answers --> http://www.calc101.com/webMathematica/long-divide.jsp#topdoit
RELATED QUESTIONS
Factor each polynomial completely given that the binomial following it is a factor of the (answered by tutorcecilia)
Factor the polynomial completely, given that hte binomial following it is a factorof the... (answered by jim_thompson5910)
46. Factor completely. -3t^3+ 3t^2-6t
60. Factor polynomial completely.... (answered by jim_thompson5910)
Factor each binomial completely given that the second binomial is a factor of the first... (answered by richwmiller)
Factor each polynomial completely, given that the binomial following it is a factor of... (answered by venugopalramana)
Please help me to solve the following problem:
Factor each polynomial completely,... (answered by Nate)
Factor the polynomial below completely, given that the binomial following it is a factor... (answered by RAY100)
Factor each polynomial completely, given that the binomial Following it is a factor of... (answered by Earlsdon)
A) Factor each polynomial completely, given that the binomial following it is a factor of (answered by stanbon)