Find all the real zeros of the polynomial function.

{eq}f(x)=6x^3-5x^2+24x-20 {/eq}

Question:

Find all the real zeros of the polynomial function.

{eq}f(x)=6x^3-5x^2+24x-20 {/eq}

Real Roots of Cubic Polynomial:

When a symbol A represents a positive integer value and written in the square root with a negative sign (such as {eq}\sqrt{-A} {/eq}), then the expression will be simplified by the property of square root and an imaginary number.

{eq}\sqrt{-A}=\sqrt{-1}\cdot \sqrt{A}\\[2ex] \sqrt{-1}=i {/eq}

  • Where {eq}i {/eq} represents an imaginary value.

Answer and Explanation:

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Polynomial:

{eq}f(x)=6x^3-5x^2+24x-20\\[2ex] {/eq}

Equate the polynomial with zero for the required zeros.

{eq}\begin{align*} \displaystyle...

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Cubic Function: Definition, Formula & Examples

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Chapter 8 / Lesson 14
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What is a cubic function? See examples of cubic functions and learn how to graph cubic functions. Learn the equation and properties of a standard cubic function.


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