Question

30 pts!!!!!!!!!

The quotient of (x^4 – 3x^2 + 4x – 3) and a polynomial is (x^2 + x – 3). What is the polynomial?
A. x^4 – 2x^2 + 5x – 6
B. x^2 – x + 1
C. x^6 + x^5 – 6x^4 + x^3 + 10x^2 – 15x + 9
D. x^4 – 4x^2 + 3x

Answer 1

(x^4 – 3x^2 + 4x – 3) / f(x) = (x^2 + x – 3)

f(x) = (x^4 – 3x^2 + 4x – 3) / (x^2 + x – 3)

B) x^2 – x + 1

Answer 2

Divide the first one by the second and the answer will be B.