Question

The answer to a division problem is given below. Label each part of the division problem

Answer 1

Answer:

The quotient is (x² + 2x - 2)

The dividend is (2x³ + 7x² + 2x + 9)

The remainder is 15

The divisor is (2x + 3)

Step-by-step explanation:

• The quotient is the answer of the division
• The dividend is the part before (above) the division sign (bar of the fraction)
• The divisor is the part after (below) the division sign (bar of the fraction)
• The remainder is the part left over in a division problem

The relation between them is dividend ÷ divisor = quotient + $\frac{remainder}{divisor}$

Ex: 37 ÷ 5 = 7 + $\frac{2}{5}$ , where 37 is the dividend, 5 is the divisor, 7 is the quotient and 2 is the remainder

Let us solve the problem

∵ $\frac{2x^{3}+7x^{2}+2x+9}{2x+3}=x^{2}+2x-2+\frac{15}{2x+3}$

∵ dividend ÷ divisor = quotient + $\frac{remainder}{divisor}$

- Compare the rule by the given problem

∴ The quotient is (x² + 2x - 2)

∴ The dividend is (2x³ + 7x² + 2x + 9)

∴ The remainder is 15

∴ The divisor is (2x + 3)