Question
Asked Jan 16, 2020
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Show that a cubic polynomial can have at most three real zeros.

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Expert Answer

Step 1

Suppose that the polynomial

Calculus homework question answer, step 1, image 1
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Step 2

Since the polynomials are continuous and differentiable on real numbers so using Roll’s theorem which says that between any two zeros of a differentiable function there exist a zero of its derivative. So,

Calculus homework question answer, step 2, image 1
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Step 3

Similarly using Roll’s t...

Calculus homework question answer, step 3, image 1
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Tagged in

Math

Calculus

Derivative