Question

find the quadratic polynomial in each case with the given numbers as the sum and product of its zeroes(5) -1/4, 1/4​

Answer 1

Answer:

P(x)=x  

2

−(sum−of−roots)x+(product−of−roots)

(i)

x  

2

−(  

4

1

​

)x−1=0

⇒4x  

2

−x−4=0

Step-by-step explanation:

Answer 2

Answer:

4x² + x + 1

Step-by-step explanation:

If α and β be the zeros of the polynomial P(x), then

P(x) = x² - (α + β)x + αβ

= x² - (-1/4)x + 1/4

= x² + x/4 + 1/4

=> 4x² + x + 1