Question

Find the quotient and the remainder when the polynomial 2x3 – x 2 + 5x - 3 [3] is divided by the polynomial (2x – 1). And express the result in the form Dividend = Divisor x Quotient + Remainder​

Answer 1

Answer:

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)