Question

find a quadratic polynomial the sum and the product of zeros are-1 upon 4, 1 upon 4​

Answer 1

Answer:

¼(4x^2+x+1)

Step-by-step explanation:

Given that,

For a quadratic polynomial,

Sum of zeroes = -1/4.

Product of zereos = 1/4

To find that required quadratic polynomial.

We know that,

A quadratic polynomial having sum of roots, s and Product of roots, p is given by,

• x^2 - sx + p

Here, we have,

• s = -1/4
• p = 1/4

Substituting the values, we get,

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

= x^2 + x/4 + 1/4

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

Hence, the required quadratic polynomial is ¼(4x^2+x+1).