Math, asked by suppu12315, 4 months ago

find quadratic polynomial sum of
it's zeroes
is -1/4 and product of
its zeroes is 1/4​

Answers

Answered by archipriya29
52

Answer:

the ans is in the above snap

Step-by-step explanation:

hope it hlpss u

Attachments:
Answered by Cynefin
123

Required Answer:

We have:-

  • Sum of the zeroes = -1/4
  • Product of zeroes = 1/4

To FinD:-

  • The Quadratic polynomial with the given sum of zeroes and product of zeroes?

Solution:-

When the sum of zeroes and product of zeroes of a quadratic polynomial is given, then the quadratic polynomial is:

= x² - (sum of zeroes)x + product of zeroes.

Now, plugging the values to determine:

= x² - (-1/4)x + 1/4

= x² + 1/4 x + 1/4

= 4x² + x + 1

Therefore:-

The required polynomial is k(4x² + x + 1)

Know more:

Similarly you can determine any ciluvic polynomial when:

  • Sum of zeroes.
  • Product of zeroes taken two at a time.
  • Product of zeroes.

Is given in the question. Or else, the zeroes are provided directly.

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