Question

find the quadratic polynomial for the sum of zeros -1 by4 and product of zeros is 1by4




Please give me write answer otheerwise it will be Reported



so please give me write answer​

Answer 1

Answer:

Alpha + beta = 1/4 .i.e., ‑b/a Alpha.beta = ‑1 ..i.e,c/a By using general formula , ax2 + bx + c = 0, We can write that ; 4x2 ‑ x ‑ 1 = 0 (Four x square ‑ x ‑ one = zero)

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Answer 2

Answer:

Sum of zeroes = α + β = – 1/4

Product of zeroes = αβ = 1/4

Then, the quadratic polynomial = x² – (sum of zeroes)x + product of zeroes

Using the sum and product values, we can write the polynomial as p(x):

$x {}^{2} - ( - \frac{1}{4} )x + \frac{1}{4} \\ = x {}^{2} + \frac{1}{4} x + \frac{1}{4} \\ = \frac{4x {}^{2} + x + 1}{4}$

We can consider 4x² + x + 1 as required quadratic polynomial because it will also satisfy the given conditions.

Hope this helps $\mathtt{: )}$