Question

Divide 9m^5 + 12m^4 - 6m^2 by 3m^2 and find quotient .​

Answer 1

Step-by-step explanation:

= 9m^5+12m^4-6m^2

3m^2

= 3m^2 (3m^3+4m^2-2)

3m^2

= 3m^3+4m^2 - 2

= 3m³+4m²- 2 ans

Answer 2

Given :

• Dividend = 9m⁵ + 12m⁴ - 6m²

• Divisor = 3m²

To find :

• Quotient

Solution :

We will find quotient by using long division method :-

$\sf\Large\qquad\quad3m^2 + 4m^2 - 2\\ \begin{array}{cc} \cline{2 - 2}\sf 3m^2 )&\sf 9m^5 + 12m^4 - 6m^2\\&\sf 9m^5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\&\sf(-) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \cline{2-2}& \sf 0 + 12m^4 \ \ \ \ \ \ \\ &\sf + \ 12m^4 \\ \cline{2-2} & \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0 - 6m^2\\ &\sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ - \ 6m^2 \\ & \sf \ \ \ \ \ \ \ \ (+) \\ \cline{2-2} & \sf \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0 \\ \cline{2-2} & \\ \end{array}\\\\\\ Divisor \rightarrow 3m^2 \\ \\ Quotient \rightarrow 3m^3+4m^2-2 \\\\Remainder \rightarrow 0$

Answer :

3m³+4m²-2