Question

find quad polynomial at sum and the product of root 2 and 1/3​

Answer 1

We know that a quadratic polynomial is formed in the form = x² - (Sum)x + Product

Sum of zeroes -2

Product of zeroes - ½

According to the question:

x² - (Sum)x + Product

x² - 2x + ½

We know that in a quadratic equation , any term can never in a fraction form .

So , here we will convert the whole equation into a normal form by multiplying the whole equation by Lcm of all the denominators and the Lcm comes out to be 2

So , we will multiply the whole equation by 2

2(x² - 2x + ½)

2x² - 4x + 1

Hence , the required quadratic equation is 2x² - 4x + 1 .

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