Determine the leading coefficient of the polynomial p, which has exactly three roots: -1, 1 and 2, and for which p(3) = 24 is true.

The polynomial is

Leading coefficient is 1

Step-by-step explanation:

We need to determine the leading coefficient of polynomial p having roots

-1,1 and 2 and p(3)=24

Roots of polynomial are: -1,1,2

We can write them as:

x=-1, x=1, x=2

x+1=0, x-1=0, x-2=0

or:

(x+1)(x-1)(x-2)=0

Multiplying the terms to find the polynomial:

So, The polynomial is

The leading coefficient is the coefficient with highest power So, in polynomial we have highest power so, leading coefficient is 1

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)