Question

Divide $p^2+pq-pr$ by $-p$.

• A. $-p-q+r$
• B. $-p+q+r$
• C. $-p-q-r$
• D. $p-q+r$

Answer 1

The correct option is A $-p-q+r$

We need to divide $p^2+pq-pr$ by $-p$.

This can be shown as:
$(p^2+pq-pr)÷(-p)$

$=\frac{p^2+pq-pr}{-p}$

$=\frac{p^2}{-p}+\frac{pq}{-p}+\frac{-pr}{-p}$

$=-p^{2-1}-p^{1-1}q+p^{1-1}r$
($\because \frac{a^m}{a^n}=a^{m-n}$ )

$=-p-q+r$

$p^2+pq-pr$ when divided by $-p$ would give the value as $-p-q+r$.

Therefore, option (a.) is the correct answer.