Question

.

Answer 1

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