SOLUTION: Use synthetic division to find the quotient and remainder. 4x^6 - 3x^4 + x^2 + 5 divided by x + 1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use synthetic division to find the quotient and remainder. 4x^6 - 3x^4 + x^2 + 5 divided by x + 1      Log On


   



Question 1208425: Use synthetic division to find the quotient and remainder.
4x^6 - 3x^4 + x^2 + 5 divided by x + 1

Found 2 solutions by josgarithmetic, timofer:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Very routine arithmetic

x+1 divisor would be for root being -1.

dividend 4x%5E6-0x%5E5-3x%5E4%2B0x%5E3%2Bx%5E2%2B0x%2B5; because we need to account for all the missing degrees of x.

-1  |    4    0    -3   0   1   0   5
    |        -4     4   -1  1   -2  2
    |______________________________________
        4    -4     1   -1  2   -2   7

You interpret that!

Answer by timofer(104) About Me  (Show Source):
You can put this solution on YOUR website!
Note that the dividend is missing some powers of x , so their coefficients are 0.

4x%5E6%2B0x%5E5-3x%5E4%2B0x%5E3%2Bx%5E2%2B0x%2B5 divided by x%2B1.
-1   |   4   0   -3   0   1    0   5
     |      -4    4   -1  1   -2   2
     ------------------------------------
         4  -4    1  -1   2   -2   7

QUOTIENT 4x%5E5-4x%5E4%2Bx%5E3-x%5E2-x
REMAINDER 7or7%2F%28x%2B1%29