Question

please solve this big problem ​

Answer 1

     

p(x) = ax² + bx + c = 0

Let a = 1.

Sum of the zeroes = - b/a

⇒ 1/4 = - b/1

⇒ - b = 1/4

⇒ b = - 1/4

Product of the zeroes = c/a

⇒ -1 = c/1

⇒ c = -1

∴ p(x) = x² - 1/4 x - 1

$\huge\boxed{\ \ \ \ \ \huge\boxed{\ \ \ \ \ \huge\boxed{p(x)=x^2-\frac{1}{4}x-1}\ \ \ \ \ }\ \ \ \ \ }$

Thank you. :-))