Question

The product of two numbers is $x^2+x-2$. If one of the numbers is $x-1$, Then the other number is

• A. $x+2$
• B. $x-2$
• C. $x+1$
• D. $x-1$

Answer 1

The correct option is A

$x+2$

The the other number be $y$.

Then, we must have, $(x-1)\times y$ = $x^2+x-2$

$⟹$ $y$ = $\frac{x^2+x-2}{x-1}$

We perform division as follows.

\( \begin{array}{l}\begin{array}{r}2 x-2 \\ -\quad+ \\ \hline 00\end{array} \\\end{array} \)

Hence $y$ = $x+2$.