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 + [tex]\frac{remainder}{divisor}[/tex]
Ex: 37 ÷ 5 = 7 + [tex]\frac{2}{5}[/tex] , where 37 is the dividend, 5 is the divisor, 7 is the quotient and 2 is the remainder
Let us solve the problem
∵ [tex]\frac{2x^{3}+7x^{2}+2x+9}{2x+3}=x^{2}+2x-2+\frac{15}{2x+3}[/tex]
∵ dividend ÷ divisor = quotient + [tex]\frac{remainder}{divisor}[/tex]
- 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)
