Question

Find the remainder of the polynomial �(�) = �0 − 3�2 + 4� + 50 is divided by another polynomial � − 3

Answer 1

Given -

p(x)=x3−3x2+4x+50 and g(x)=x−3

p(x)=x3−3x2+4x+50 and g(x)=x−3[/tex]

Here,

p(x) is divided by  g(x)

thud the reminder is

 p(3) =33−3(3)2+4×3+50   (By Remainder Theorem)               

                                                  =27−27+12+50               

         =62

Answer 2

Given p(x) = x3 - 3x2 + 4x + 50 and g(x) =

X-3

Here, p(x) is divided by g(x)

The remainder is p(3) = 33 - 3(3)² + 4 x 3 + 50 (By Remainder Theorem)

= 27 - 27 + 12 + 50

= 62

Thus, the remainder is 62