When this polynomial is divided by (m + 1), the remainder is 0. What is the value of the polynomial's constant term? -2m^3 + m^2 - m + (blank)

The value of the polynomial's constant term is -4

Step-by-step explanation:

Given polynomial;

= -2m³ + m² - m + c

where;

c is the constant term

factor of the polynomial = m+1

then, f(m+1) = 0

m = -1

Substitute the value of m in the given polynomial and solve for the constant term "c";

-2m³ + m² - m + c = 0

-2(-1)³ + (-1)² - (-1) + c = 0

2 + 1 + 1 + c = 0

4 + c = 0

c = -4

Therefore, the value of the polynomial's constant term is -4