Question

$-1$$0$$1$Find the sum and product of the zeroes of the following quadratic polynomials.

$x^2-1$

Answer 1

The standard form of any polynomial is $\left(\mathrm{coefficient}\mathrm{of}{x}^2\right)x^2+\left(\mathrm{coefficient}\mathrm{of}x\right)x+\mathrm{constant}\mathrm{term}$.

Here, coefficient of $x^2$ is , coefficient of $x$ is $0$, and constant term is $-1$.

Step 1: To find the sum of zeroes.

Sum of zeroes = $\frac{-\left(\mathrm{coefficient}\mathrm{of}x\right)}{\mathrm{coefficient}\mathrm{of}{x}^2}=\frac{0}{1}=0$

Step 2: To find the product of zeroes.

Product of zeroes = $\frac{\mathrm{constant}\mathrm{term}}{\mathrm{coefficient}\mathrm{of}{x}^2}=\frac{-1}{1}=-1$

Hence, the sum and product of zeroes are $0\mathrm{and}-1$respectively.