For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at x = −2, x = 1, and x = 3.

Daniaal Sanchez 2021-06-08 Answered

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at x=2, x=1, and x=3. y-intercept at (0,4).

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Demi-Leigh Barrera
Answered 2021-06-09 Author has 97 answers

Data: xintercept=2,1,3
xintercept of multiplicity=4
Degree=4
Since it is a third degree function with three x intercepts, its general equation becomes: f(x)=a(x+2)(x1)(x3)
In order to evaluate a, use the y - intercept (0,-4), therefore substitute f(0)=4 in this equation:
4=a(0+2)(01)(03)
Simplify: 4=6a
Evaluate a: a=46=(23)
This implies that the equation of the given polynomial function is f(x)=
((23))(x+3))(x1)(x3)

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