SOLUTION: Find the constant C such that the denominator will divide evenly into the numerator. 2x^3+9x^2-x+C/x+4 Show the solution.

Algebra.Com
Question 1186706: Find the constant C such that the denominator will divide evenly into the numerator.
2x^3+9x^2-x+C/x+4
Show the solution.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Study the other one as an example and you will know what to do for this one.
Answer by ikleyn(52879)   (Show Source): You can put this solution on YOUR website!
.
Find the constant C such that the denominator will divide evenly into the numerator.
2x^3+9x^2-x+C/x+4
~~~~~~~~~~~~~~~~~~~ 

The linear binomial (x+4) in the denominator divides the polynomial  f(x) = 2x^3 + 9x^2 - x + C  of the numerator evenly 

if and only if  f(-4) = 0   (the Remainder Theorem).


From condition  f(-4) = 0  find the value of C


    2*(-4)^3 + 9*(-4)^2 - (-4) + C.


It gives


    C = -2*(-4)^3 - 9*(-4)^2 + (-4) = -2*(-64) - 9*16 - 4 = 128 - 144 - 4 = -20



Hence,  C = -20.    ANSWER

Solved.



RELATED QUESTIONS

Find the constant C such that the denominator will divide evenly into the numerator.... (answered by josgarithmetic,ikleyn)
Find the constant c such as that the denominator will divide evenly into the numerator:... (answered by MathLover1)
Find a fractin such that if 3 is added to both numerator and denominator is equal to 2/3. (answered by greenestamps)
This equation was right with the numerator and denominator Divide: x^3 + 2x^2 + x + 12 (answered by stanbon)
Find a fraction such that if 3 is added to both numerator and denominator is equal to... (answered by greenestamps)
Solve the equation: Numerator: a/(a-x)+b/(b-x)+c/(c-x) Denominator:... (answered by Aldorozos,Edwin McCravy)
I am struggling with this problem... any help will be greatly appreciated! Analyze the (answered by josgarithmetic)
find the constant a,b, and c such that... (answered by josgarithmetic)
9/x-4 = 9x+36/? How will I solve if neither of the numerator or the denominator is... (answered by vleith)