Question

Find quadratic polynomial in which sum of zeroes is -1/4 and product of zeroes is-1/4.​

Answer 1

Answer:

4x²+x-1

Step-by-step explanation:

α+β=(-¼), αβ=(-¼)

Quadratic polynomial

=x²-(α+β)x+αβ

=x²-(-¼)x+(-¼)

=x²+¼x-¼

Multiply each term by 4

=x²×4+¼×4x-¼×4

=4x²+x-1