Question

4. Find the remainder when P(x) = x3 + x2 - x + 1 is divided by x + 2​

Answer 1

Answer:

reminder is 15

Step-by-step explanation:

given P(x) = x3 + x2 - x + 1

q(x)=x+2

let x+2=0

x=-2

put in p(x),

so the reminder is

p(-2)=(-2)3+(-2)2-(-2)+1

=-2*-2*-2+-2*-2+2+1

=-8+4+3

p(-2) =15

Answer 2

Answer:

The required remainder is -1

Step-by-step explanation:

The given polynomial is  P(x) = x³ + x² - x + 1

The zero of polynomial (x +2) is -2

By remainder thm,

²remainder = P(-2) = (-2)³ + (-2)² - (-2) + 1

                               = -8 + 4 +2 +1

                               = -1