Question

Find a quadratic polynomial each with the given numbers as the sum and

product of its zeroes respectively root3 and -root3​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

3×2-10x-3

Step-by-step explanation:

Given: Sum of zeroes =α+β=310 

Product of zeroes =αβ=−1

Then, the quadratic polynomial =x2−( sum of zeroes )x+ product of zeroes =x2−(310)x+(−1)

=x2−310x−1

=33x2−10x−3

We can consider 3x2−10x−3 as required quadratic polynomial.

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