Question

Find the zeros of the following quadratic polynomial and verify the relation between the zeros and the coefficients.
x
$3 \times ^{2} - \times - 4$
3x square

Answer 1

Heya !!!




3X² - X - 4

3X² - 4X + 3X - 4



X ( 3X - 4 ) + 1 ( 3X - 4 )



( 3X - 4 ) ( X + 1 )



X = 4/3 or X = -1



Relationship between the zeroes and coefficient.




Let Alpha = 4/3 and Beta = -1


Sum of zeroes = Alpha + Beta = 4/3 - 1 = 4-3/3 = 1/3 = - ( Coefficient of X² ) / Coefficient of X



And,


Product of zeroes = 4/3 × -1 = -4/3 = Constant term / Coefficient of X.


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