has
p(x) = 2x3 – 3x2-mx-6
1. the polynomial function has x-2
as one of its factors. what is the value of m?

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

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

i don't understand. explain it clearly