Find the equation for a polynomial f(x) that satisfies the following: •Degree 3
•Zero at 2=4
•Zero at 2 = 1
•Zero at x =2
•y-intercept of (0,4)

Step-by-step explanation:

Considering zero's and a coefficient, the function is:

Considering y-intercept:

So the function is:

The graph showing zero's is attached

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)