Question

The product of two numbers is $-14m^6{n}^3-21m^4{n}^5+7m^5{n}^4$. If one number is $7m^2{n}^2$, then find the other number.
(3 marks)

Answer 1

The product of two numbers is $-14m^6{n}^3-21m^4{n}^5+7m^5{n}^4$.

One number = $7m^2{n}^2$

Then second number is $\frac{-14m^6{n}^3-21m^4{n}^5+7m^5{n}^4}{7m^2{n}^2}$

(1 mark)

We shall perform the above division as follows:

$\frac{-14m^6{n}^3-21m^4{n}^5+7m^5{n}^4}{7m^2{n}^2}$

= $\frac{-14m^6{n}^3}{7m^2{n}^2}-\frac{21m^4{n}^5}{7m^2{n}^2}+\frac{7m^5{n}^4}{7m^2{n}^2}$
(1 mark)

= $-2m^{4}n-3m^2{n}^3+m^3{n}^2$
(1 mark)