Question

find the remainder when 3x^3-2x^2-x+1 is divided by x+3

Answer 1

f(x) = 3x³ - 2x² - x + 1

f(-3)
= 3(-3)³ - 2(-3)² -(-3) + 1
= 3(-27) -2(9) + 3 + 1
= -81 - 18 + 4
= -95

The remainder is -95.

Answer 2

let p(x)= 3x^3-2x^2-x+1 is divided by
g(x) = x+3= 0
= x= -3
p(-3)= 3*(-3)^3-2*(-3)^2-(-3)+1
= 3*-27-2*9+3+1
= -81-18+4
= -99+4
= -95