Question

Use polynomial long division to find the quotient and the remainder when 2x^3-3x^2-2x-1 is divided by x-3

Answer 1

• quotient: 2x^2 +3x +7
• remainder: 20

Explanation:

See the attachment.

At each step, the value being subtracted from the dividend is the product of the quotient term and the divisor. The quotient term is found by dividing the highest-degree term of the dividend by the highest degree term of the divisor (x).

When the dividend has a degree that is less than the degree of the divisor, we call that value (20) the remainder.