The remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.
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; f(x) = x² + 3x + 7, since it is divided by x + 2, hence:
x + 2 = 0
x = -2
f(-2) = (-2)² + 3(-2) + 7 = 5
Hence the remainder when the polynomial x² + 3x + 7 is divided by x + 2 is 5.
Find out more at: https://brainly.com/question/19030073
