Q. 113.6( 26 Votes )

Find the zeroes of the quadratic polynomial p(x) = 6x2 – 3 – 7x. And also, verify the relationship between zeroes and coefficient.

Answer :

To Find: Zeroes of the polynomial


Given: p(x) = 6x2 – 3 – 7x


Concept Used:


For a quadratic polynomial,


P(x) = ax2 + bx + c


Sum of the roots


The product of roots


Explanation:


P(x) = 0


6x2 – 3 – 7x = 0


6x2 – 7x – 3 = 0


(We factorized 7 such that the product is equal to 18 and the difference is equal to 7)
6x2 + 2x – 9x – 3 = 0
2x(3x + 1) – 3(3x + 1) = 0


(3x + 1)(2x – 3) = 0



Now, to verify the relationship,


Sum of the zeroes


The product of the zeroes




Hence, verified.


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