Use the following information to answer the next question A

Use the following information to answer the next question. A polynomial function can be described using the information below. quartic function exactly 3 distinct real roots y-intercept equal to 6 1. Create an equation in factored form that fits the above description. (2 marks) Use the following information to answer the next question.

Solution

quadratic equation with with distinct roots

is f(x) = (x-x1)(x-x2)(x-x3)

given y intercept is 6

plug x=0

6 = -x1.x2.x3

x1.x2.x3 =-6

given roots are distinct

so x1=1 x2=2,x3=-3

f(x) = (x-1)(x-2)(x+3)