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Obtain all the zeros of the polynomial `f(x)=3x^4+6x^3−2x^2−10x−5`, if two of its zeros are `sqrt(5/3)` and `-sqrt(5/3)`.

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To find all the zeros of the polynomial \( f(x) = 3x^4 + 6x^3 - 2x^2 - 10x - 5 \), given that two of its zeros are \( \sqrt{\frac{5}{3}} \) and \( -\sqrt{\frac{5}{3}} \), we can follow these steps: ### Step 1: Identify the known zeros We know that two zeros of the polynomial are: 1. \( \alpha = \sqrt{\frac{5}{3}} \) 2. \( \beta = -\sqrt{\frac{5}{3}} \) ### Step 2: Form the factors from the known zeros ...
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RD SHARMA-POLYNOMIAL-All Questions
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  8. Draw the graph of the polynomial f(x)=x2-6x=9.

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