Question

sum of the zero of a quadratic polynomial is -1/4 and product is 1/4. Obtain the polynomial​ ​

Answer 1

Answer:

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Answer 2

Answer:

4x² + x + 1 = 0

Step-by-step explanation:

Let the quadratic equation be,

ax² + bx + c = 0

Given that,

sum of the zero = -b/a = -1/4

and product is= c/a = 1/4

therefore, we get,

b = c = 1, and a = 4

so the equation is: ax² + bx + c = 0

=> 4x² + x + 1 = 0

or, given that,

sum = -1/4 and product = 1/4

Now, the polynomial would be:

x² - (sum)x + (product) = 0

=> x² - (-1/4)x + 1/4 = 0

=> x² + (1/4)x + 1/4 = 0

=> 4x² + x + 1 = 0

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