Question

Divide the given polynomial by the given monomial: $(5X^2-6x)÷3x$

Answer 1

The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate the division of two numbers is:

Dividend ÷ Divisor = Quotient + Remainder.

Here,

• The dividend is the number, which is being divided
• The divisor is the number, which divides the number (dividend) into equal parts
• The quotient is the result of the division operation
• The remainder is the leftover number in the division operation.

$(5X^2-6x)÷3x$

Consider the common factor of $(5X^2-6x)$

$(5X^2-6x)=X(5X-6)$

$\Rightarrow \frac{(5X^2-6x)}{3X}=\frac{X(5X-6)}{3X}$

$\Rightarrow$$\frac{X}{X}\times \frac{(5X-6)}{3}$

$\Rightarrow \frac{(5X^2-6x)}{3X}=\frac{5X-6}{3}$

Hence, $\frac{5X-6}{3}$ is the correct answer.