VERIFYING THE RELATION SHIP BETWEEN ROOTS AND COEFFICIENTS OF A QUADRATIC EQUATION WORKSHEET

Verifying the Relation Ship Between Roots and Coefficients of a Quadratic Equation Worksheet :

Practice problems given in this section will be much useful for the students who would like to practice on verifying the relationship between roots and coefficients.

Relation Ship Between Roots and Coefficients of a quadratic equation - Questions

Question 1 :

Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and coefficients

(i) x² – 2 x – 8      Solution

(ii) 4 s² – 4 s + 1    Solution

(iii) 6 x² – 3 – 7 x     Solution

(iv) 4 u² + 8 u      Solution

(v) t² - 15        Solution

(vi) 3 x² – x - 4        Solution

(2) Find the quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

(i) 1/4 ,-1               Solution

(ii) √2,1/3        Solution

(iii) 0, √5        Solution

(iv)  1, 1        Solution

(v)  -1/4, 1/4        Solution

(vi) 4, 1        Solution

After having gone through the stuff given above, we hope that the students would have understood, verifying the relation ship between roots and coefficients of a quadratic.

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