Question

Write an equation for the cubic polynomial function whose graph has zeros at 2, 3, and 5. - Can any of the roots have multiplicity? - How can you find a function that has these roots?

Answer 1

Answer:

${x}^{3} - 2x - 4$

x = 2

${2}^{3} - 2(2) - 4 \\ 8 - 4 - 4 \\ 8 - 8 = 0$

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Answer 2

Answer:None of the roots can have multiplicity because the polynomial is cubic and 3 roots are given. Write each root as a linear factor, then multiply the three factors to get the expression for the function.

Which of the following did you include in your explanation?

The roots cannot have multiplicity because the function is specified as cubic and 3 roots are given.

To find the function, write f(x) = (x – 2)(x – 3)(x – 5), and simplify the right side.

Step-by-step explanation:

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