Divide using synthetic division: (x^3 - 3x^2 - 5x - 25) ÷ (x - 5)

Question

A: x^2 + 2x + 5

B: x^2 - 8x + 35, R -200

C: x^2 + 2x - 15, R -100

D: x^2 - 8x + 35, R 150

E: x^2 + 2x - 15, R 50

Answer 1

5⌋     1       -3       -5        -25

    ________5____10______25

        1       2         5          0

 

1, 2, and 5 are the coefficients of the quotient.  The last entry of the bottom row is the remainder.

 

Quotient:  x²+2x+5

Remainder: 0

 

Answer: (A)