Question

on dividing x^3-3 x^2 + 4x + 5 by a polynomial g(X), the
quotient and remainder were x-2 and -2x+4,
respectively. Find g(X).​

Answer 1

Answer:

9

Step-by-step explanation:

Find the remainder polynomial when cubic polynomial x

3

−3x

2

+4x+5 divide by (x−z)

x−2)x

3

−3x

2

+4x+5(x

2

−x+2

x

3

−2x

2

−+

______________________

−x

2

+4x+5

−x

2

+2x

+−

______________________

2x+5

2x−4

−+

______________________

9

Remainder →9