Let g be a polynomial function of x where g(x) = 2x^3+ 3x^2-5x-6 . If (x+2) is a factor of g, write an equation for g as the product of linear factors

Step-by-step explanation:

Given polynomial :

A factor of polynomial is .

To find:

Equation of the polynomial as the product of linear factors.

Solution:

First of all, let us divide the polynomial with to find the other factors.

As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.

That quadratic will have 2 solutions.

Solving the quadratic in linear will give us the answer.

Result of division:

Now, solving the quadratic:

So, the linear equation can be written as:

the answer is a

step-by-step explanation: