Question

find the reminder when x3 - px2 + 6x - p is divided by x - p plz tell me answer and no spam​

Answer 1

We have to find out remainder when x³ - px² + 6x - p is divided by x - p.

So, to find remainder we will divide x³ - px² + 6x - p by x - p using long division method.

$\begin{array}{c|c|c}\sf x-p&\sf x^2-px^2+6x-p&\sf x^2+6\\&\sf x^3-px^2\qquad\qquad&\\&\dfrac{-\ \:\:\:\:\:+}{\sf 0\:\:\:\:\:\:\:0}\qquad\qquad\quad&\\&\qquad\qquad\:\:\:\sf 6x-p&\\&\qquad\qquad\quad\sf 6x-6p&\\&\qquad\quad\quad\ \ \dfrac{-\quad\ +}{\sf\:0+5p}&\\&\:\:\:\:\qquad\qquad\dfrac{\quad\qquad}{}&\end{array}$

Answer :

Quotient = x²+6

Remainder = 5p

Answer 2

We have to find out remainder when x³ - px² + 6x - p is divided by x - p.

So, to find remainder we will divide x³ - px² + 6x - p by x - p using long division method.

$\begin{gathered}\begin{array}{c|c|c}\sf x-p&\sf x^2-px^2+6x-p&\sf x^2+6\\&\sf x^3-px^2\qquad\qquad&\\&\dfrac{-\ \:\:\:\:\:+}{\sf 0\:\:\:\:\:\:\:0}\qquad\qquad\quad&\\&\qquad\qquad\:\:\:\sf 6x-p&\\&\qquad\qquad\quad\sf 6x-6p&\\&\qquad\quad\quad\ \ \dfrac{-\quad\ +}{\sf\:0+5p}&\\&\:\:\:\:\qquad\qquad\dfrac{\quad\qquad}{}&\end{array}\end{gathered}$

Answer :

Quotient = x²+6

Remainder = 5p