Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

• Can any of the roots have multiplicity?

• How can you find a function that has these roots?

Question

Mathematics

Guest

15 February, 22:19

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

• Can any of the roots have multiplicity?

• How can you find a function that has these roots?

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Answers (1)

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Mccormick · Answer 1

The quadratic function x^2 - 5x + 6 = 0

can be factored into (x - 3) * (x-2)

And it would have roots of 3 and 2

So, if a cubic functions has roots of 2, 3 and 5 then its factors are

(x - 2) * (x - 3) * (x - 5)

Multiply it out to get the equation.

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

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

• Can any of the roots have multiplicity?

• How can you find a function that has these roots?