Question

Identify the polynomial divisor, dividend, and quotient represented by the synthetic division. mc001-1.jpg Divisor: –3 3 x – 3 x + 3 Dividend: 2x3 + 11x2 + 18x + 9 -6x3 - 15x - 9 2x2 + 5x + 3 Quotient: 2x4 + 11x3 + 18x + 9 2x3 + 5x2 + 3x 2x2 + 5x + 3

Answer 1

In division, the dividend is divided by the divisor to get a quotient .

The expression which has been divided by the synthetic division can be written as :$2x^{3}+11x^{2}+18x+9.$

It has been divided by  x=-3 that is x+3 is a factor.

The polynomial after the division is :$2x^{2}+5x+3.$

The divisor is x-3.

The  Dividend is $2x^{3}+11x^{2}+18x+9.$

The Quotient is $2x^{2}+5x+3.$

Answer 2

The correct answer is x+3.