Question

write a quadratic polynomial whose sum of zeroes is -1/4 and product of zeroes is 1/4​

Answer 1

Answer:

Quadratic polynomial=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+¼x×4+¼×4

=4x²+x+1