Question

Find a quadratic polynomial having sum and product of zeroes as 1/4, 1/4 respect ively

Answer 1

Answer:

The required quadratic equation or polynomial is 4x^2 + x + 1.

Step-by-step explanation:

Given : Sum of the zeroes

= (-1/4)

Product of the zeroes = 1/4

We know that, if we have sum and product of zeroes then, we can find the quadratic equation by putting the value of sum and product of zeroes.

p(x) = x^2 - (Sum of zeroes)x + (Product of zeroes)

p(x)=x^2-(-1/4)x+ (1/4) = 0

p(x) = x^2 + x/4 + 1/4 = 0

p(x) = 4x^2 + x + 1/4 = 0

p(x) = 4x^2 + x + 1 = 0

Hence, the required quadratic equation or polynomial is 4x^2 + x + 1.

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