The other zero of the polynomial 2x3 + x2 -6x -3, if two of its zeroes

1.	The other zero of the polynomial 2x3 + x2 -6x -3, if two of its zeroes are √3 and -√3, is
Answer» Given polynomial is 2x³ + x² − 6x − 3 The two roots of polynomial are −√3,√3 Let the other root be a Product of the roots will be - \(\frac{-3}{2}\) ⇒ (-√3)(√3)a = \(\frac{3}{2}\) ⇒a = -\(\frac{1}{2}\) So the other zero is -\(\frac{1}{2}\)

The other zero of the polynomial 2x3 + x2 -6x -3, if two of its zeroes are √3 and -√3, is

Answer»

Given polynomial is 2x³ + x² − 6x − 3

The two roots of polynomial are −√3,√3

Let the other root be a

Product of the roots will be - \(\frac{-3}{2}\)

⇒ (-√3)(√3)a = \(\frac{3}{2}\)

⇒a = -\(\frac{1}{2}\)

So the other zero is -\(\frac{1}{2}\)

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The other zero of the polynomial 2x3 + x2 -6x -3, if two of its zeroes are √3 and -√3, is

Given polynomial is 2x3 + x2 − 6x − 3

The two roots of polynomial are −√3​,√3​

Let the other root be a

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Given polynomial is 2x³ + x² − 6x − 3

The two roots of polynomial are −√3,√3