For the following exercises, use the given information about the polynomial graph to write the equation. Degree 5. Double zero at x = 1, and triple zero at x = 3. Passes through the point (2, 15).

For the following exercises, use the given information about the polynomial graph to write the equation.

Degree 5. Double zero at x = 1, and triple zero at x = 3. Passes through the point (2, 15).

Solutions

Expert Solution

Consider the information provided in the exercise,

The degree is 5 and zeros are at x = 1, x = 3.

The first zero occurs at x = 1. It has a multiplicity of 2.

The second zero occurs at x = 3. It has a multiplicity of 3.

Combine all this,

f(x) = a(x – 1)2(x – 3)3

To determine stretch factor a, put the point (2, 15) in the equation.

15 = a(2 – 1)2(2 – 3)3

15 = -a

a = -15

Hence, the function is f(x) = -15(x – 1)2(x – 3)3.

Hafiz answered 1 year ago

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