Question

If a polynomial $p\left(x\right)$ is divided by $(ax+b),$ then the remainder is.

• A. $p\left(\frac{b}{a}\right)$
• B. $p(-\frac{b}{a})$
• C. $p\left(\frac{a}{b}\right)$
• D. $p(-\frac{a}{b})$

Answer 1

Answer: (B)

$p(-\frac{b}{a})$

According to remainder theorem, when $p\left(x\right)$ is divided by $x-a$, remainder is given by $f\left(a\right)$

$(ax+b)=a(x-(-\frac{b}{a}))$,

$\therefore$ Remainder $=p\left(\frac{-b}{a}\right)$