Question

if the polynomial f(x) is divided by (5x+4) then the reminder is​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{f(x)}$

$\underline{\textbf{To find:}}$

$\textsf{The remainder when f(x) is divided by (5x+4)}$

$\underline{\textbf{Solution:}}$

$\underline{\textbf{Remainder theorem:}}$

$\textsf{(1. The remainder when P(x) is divided by (x-a)  is P(a)}$

$\textsf{(2. The remainder when P(x) is divided by (ax+b)  is}\mathsf{\;P\left(\dfrac{-b}{a}\right)}$

$\textsf{By remainder theorem,}$

$\textsf{The remainder when f(x) is divided by (5x+4)}$

$\mathsf{=f\left(\dfrac{-4}{5}\right)}$

$\underline{\textbf{Answer:}}$

$\mathsf{Remainder\;is\;f\left(\dfrac{-4}{5}\right)}$

$\underline{\textbf{Find more:}}$

Find the remainder when 2x^2 - 7x – 1 is divided by ( x + 3)​

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