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Find the zeros of the quadratic …

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Find the zeros of the quadratic polynomial X square + 5 x + 6 and verify the relationship between the zeros and the coefficients

Posted by Vidhi Garg 5 years, 7 months ago

CBSE > Class 10 > Mathematics

2 answers

Tarushi Jaipuria 5 years, 7 months ago

•We know that -- •Sum of the zeroes = -(coefficient of x/coefficient of x²) • -3+(-2)= -5/1 • -5=-5 • LHS= RHS • And product of the zeroes = (constant term / coefficient of x²) •. -3(-2)= 6/1 •. 6=6 •. LHS=RHS

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Tarushi Jaipuria 5 years, 7 months ago

By splitting middle term-. X²+5x+6 = x²+2x+3x+6= x(x+2) + 3(x+2) Hence the zeroes of the polynomial are (x+3) and (x+2) i.e.. x=-3 and x=-2

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