Question

How many zeroes does a quadratic polynomial have?

Answer 1

Zeroes of a Quadratic polynomial.

The value of $x$ for which value of polynomial becomes zero is known as zeroes of polynomial.

And the degree in a polynomial is equal to number of zeroes.

For example, Let a quadratic polynomial

$$\begin{gathered} \Rightarrow x^2+5x+6=0 \\ \Rightarrow x^2+3x+2x+6=0 \\ \Rightarrow x(x+3)+2(x+3)=0 \\ \Rightarrow (x+2)(x+3)=0 \\ \Rightarrow x=-2or-3 \end{gathered}$$

Here, we can see that only two value of $x$ at which polynomial becomes zero.

Hence, the quadratic polynomial has only two zeroes