Question

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: 1. p(x)=x^3-3x^2+5x-3, g(x)=x^2-x​

Answer 1

Answer:

Answer

Given:-

p(x)=x

3

−3x

2

+5x−3

g(x)=x

2

−2

p(x)÷g(x)

(x

3

−3x

2

+5x−3)÷(x

2

−2)

x

2

−2

x

3

−3x

2

+5x−3

=(x−3)+

(x

2

−2)

(7x−9)

Quotient =(x−3)

Remainder =(7x−9)

Answer 2

Step-by-step explanation:

quotient= x-2

remainder = 7x-3