Question

find the quotient q(X) and remainder p(X) x³+4x²-5x+6 by g(X) = X+1 and hence verify p(X)= (g(X) × q(X)) + r(x)​

Answer 1

Step-by-step explanation:

x+1)

x

3

+4x

2

−5x+6

x

2

+3x−8

(−)

x

3

(−)

+

1x

2

+3x

2

−5x+6

(−)

+

3x

2

(−)

+

3x

−8x+6

(+)

8

x

(+)

−

8

14

Therefore, q(x)=x

2

+3x−8 and R(x)=14.