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Find the quadratic polynomial whose zeros …

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Find the quadratic polynomial whose zeros are 2/3 and -1/4 . Verify the relation between the coefficient and the zeros of the polynomial.

Posted by Indrajeet Kumar 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 5 months ago

s = 2/3 - 1/4 = 8 - 3/12 = 5/12.// p = 2/3 * -1/4 = -2/12.// Therefore, p(x) = k (x^2 - sx + p) = k (x^2 - 5/12 x - 2/12) = k (12x^2 - 5x - 2).// According to the relation between zeroes and coefficients in quadratic polynomial, s = -b/a. 5/12 = -(-5)/12 = 5/12// p = c/a. -2/12 = -(2)/12 = -2/12//

2Thank You

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