Question

The ratio of sum of zeroes to their product in the polynomial $P\left(x\right)=4x^2-1$ is?

• A. $\frac{1}{4}$
• B. $0$
• C. $-\frac{1}{4}$
• D. $4$

Answer 1

The correct option is B $0$

The ratio is

$\frac{Sumofzeroes}{productofzeroes}=?$

Let zeroes are $\alpha$ & $\beta$.

$\frac{\alpha +\beta }{\alpha \beta }=?$

as we know, $\alpha +\beta =\frac{-b}{a}$ & $\alpha \beta =\frac{c}{a}$

here a = 4, b = 0 & c = -1.

$\frac{\alpha +\beta }{\alpha \beta }=\frac{-b/a}{c/a}=\frac{-b}{c}=0$

ratio is 0.