Question

Find a quadratic polynomial each with given number as sum and product of zeros respectively:-1/4,1/4?

Answer 1

Answer:

f(x) = 4x + x + 1

Step-by-step explanation:

If $x_{1}$ and $x_{2}$ are zeros of f(x) = ax² + bx + c, then

$x_{1}$ + $x_{2}$ = $-\frac{b}{a}$

$x_{1}$$x_{2}$ = $\frac{c}{a}$

~~~~~~~~

If $x_{1}$ + $x_{2}$ = - $\frac{1}{4}$ and  $x_{1}$ × $x_{2}$ = $\frac{1}{4}$ , then f(x) = 4x + x + 1