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If -1 and 2 are the two zeros of the polynomial 2x cube-x square-5x-2 , its third zero is _________

Posted by Shubhi Gupta 6 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 3 months ago

Given polynomial is p(x) = 2x³- x²- 5x - 2
and -1 and 2 are zeroes of polynomial.
{tex}\therefore{/tex} {x - (-1)} (x - 2)= ( x + 1) (x - 2) = x² - 2x + x - 2 = x²- x - 2 is a factor of p(x)

For other zeroes, 2x + 1 = 0
{tex}\Rightarrow x = \frac { - 1 } { 2 }{/tex}
{tex}\therefore{/tex} Other zero = {tex}\frac { - 1 } { 2 }{/tex}

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CBSE > Class 10 > Mathematics