The value of m = - 1.
Explanation:
An expression which contains two or more algebraic terms is called the polynomial. It is made up of two terms namely Poly and Nominal meaning many terms.
P(x) = 2x^3 - 3x^2 - mx - 6
x - 2 is one of the factor of the polynomial.
So x - 2 = 0
x = 2
Substituting the value of x,
P(2) = 2(2)^3 - 3(2)^2 - m(2) - 6
2(8) - 3(4) - m(2) - 6 = 0
16 - 12 - 2m - 6 = 0
- 2 - 2m = 0
- 2m = 2
m = - 1
