Question

find the remainder when p(x)=x⁴+2x³-3x²+x-1 is divided by (x-2) Also find p(2)

Answer 1

HOPE U LIKE IT.........

Answer 2

Remainder is 21  if  p(x)=x⁴+2x³-3x²+x-1  divided by (x-2)

P(2) = 21

Given:

• p(x)=x⁴+2x³-3x²+x-1  divided by (x-2)

To Find:

• Remainder
• p(2)

Solution:

• Remainder theorem if P(x) is divided by (x  -a )  then P(a) is the remainder

Using Long division:

               x³ +4x² + 5x +11

     x- 2  )  x⁴+2x³-3x²+x-1   (

                x⁴-2x³

              ______

                    4x³-3x²+x-1

                    4x³-8x²

                  ________

                          5x²+x-1

                          5x²-10x

                          ______

                                11x  - 1

                                11x  - 22

                               _______

                                        21

Remainder is 21

p(x)=x⁴+2x³-3x²+x-1

P(2) = 2⁴+2(2)³-3(2)²+2-1

= 16 + 16 - 12 + 1

= 21

P(2) = 21