Use the graph of the polynomial function to find the factored form of the related polynomial. assume it has no constant factor.

Answer with explanation:

I will use cubic polynomial to explain this.Let the graph of the polynomial cuts the X axis at , a, b and c.Suppose all the three roots of the cube are Real.

So, it has three roots equal to a, b and c.

Equation of Cubic Polynomial is given by:

 = (x-a)(x-b)(x-c)

 = [x² - (a+b)x + a b](x-c)

 = x²(x -c)-x(a+b)(x-c)+ab(x-c)

= x³-x²c- (x²-xc)(a+b)+a b x - a b c

= x³ - x² c-x² a - x² b+a c x + b c x+a b x - a b c

=x³-x²(a+b+c)+x(a b+b c+ca)-a b c

The factors a, b and c can be any rational number in the form of

For example ,the roots of the cubic polynomial are 1, -1 and 3.

Polynomial Function = (x -1)[x-(-1)](x-3)

                            =(x-1)(x+1)(x-3)

-232

step-by-step explanation:

(3x-8) or (3x+8)

step-by-step explanation: