Q. 1 C4.0( 4 Votes )

Find the zeroes o

Answer :

To find the zeros of the polynomial let us first solve the polynomial by equating it to zero. Factorizing the given polynomial

6x2 – x - 2 = 0


To factorize the polynomial we have,


Sum of the value should be equal = -1


Product should be equal to = 6 × (-2)


= -12


So two numbers are -4, 3


6x2 – 4x + 3x - 2 = 0


2x (3x – 2) + 1(3x – 2) = 0


(2x+1)(3x-2) = 0


2x+1 = 0 or 3x-2 = 0


Now Solving first part,


2x+1 = 0


2x = -1


x = -1/2


Now solving the second part,


3x-2 = 0


3x = 2


x = 2/3


When we compare the above quadratic equation with the generalized one we get,


ax2 + bx + c = 0


a = 6, b = -1, c = -2


Sum of zeroes = -b / a


= - (-1) / 6


= 1/6


Product of zeroes = c / a


= -2 / 6


= -1/3


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