SOLUTION: Find the quotient Q(x) when the polynomial P(x) is divided by (x+3) P(X) =x^4-2x^2+5x-7

Algebra ->  Finance -> SOLUTION: Find the quotient Q(x) when the polynomial P(x) is divided by (x+3) P(X) =x^4-2x^2+5x-7      Log On


   

Question 1153477: Find the quotient Q(x) when the polynomial P(x) is divided by (x+3)
P(X) =x^4-2x^2+5x-7
Found 3 solutions by MathLover1, josgarithmetic, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
............(x%5E3-3x%5E2%2B7x+-16
x%2B3|x%5E4%2B0%2Ax%5E3-2x%5E2%2B5x-7
..........x%5E4%2B3x%5E3.....subtract
.............-3x%5E3.....bring down -2x%5E2
.............-3x%5E3-2x%5E2
.............-3x%5E3-9x%5E2 ....subtract
...................7x%5E2 ....bring down 5x
...................7x%5E2%2B5x
...................7x%5E2%2B21x ....subtract
.......................-16x....bring down -7
.......................-16x-7
.......................-16x-48....subtract
...........................+41-> reminder
Q%28x%29=x%5E3-3x%5E2%2B7x+-16 and reminder 41

so, x%5E4-2x%5E2%2B5x-7+=+%28x%5E3-3x%5E2+%2B+7x+-16%29+%2A+%28x+%2B+3%29+%2B+41


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-3  |  1   0   -2   5   -7
    |
    |     -3    9  -21  48
    |_________________________
      1  -3    7   -16  41

QUOTIENT : x%5E3-3x%5E2%2B7x-16

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find the quotient Q(x) when the polynomial P(x) is divided by (x+3)
P(X) =x^4-2x^2+5x-7