Question

How do you find all roots?

Answer 1

Finding roots :

Roots of a polynomial is define as the the value of quadratic polynomial becomes zero.

Roots can be find by the method splitting the middle term method, squaring method, greatest method, graphic method.

Splitting the middle term,

For eg:

$$\begin{gathered} x^2+5x+6 \\ {x}^2+3x+2x+6 \\ x(x+3)+2(x+3) \\ (x+2)(x+3) \end{gathered}$$

In the above example we split middle term i.e. $5xinto3xand2x$ whose sum equal to $5x\&multiplicationis6x^2$ and then taking common and equating with zero

$$\begin{gathered} (x+2)(x+3)=0 \\ x+2=0orx+3=0 \\ x=-2or-3 \end{gathered}$$

Hence, this way we can find all roots .