The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).
Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:
x + 3 = 0
x = -3
p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6
Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
Find out more at: https://brainly.com/question/13416073
