द्विघाती बहुपद

A quadratic polynomial is one in which the highest power of a variable term in the polynomial expression is equal to $2$.

Definition

A quadratic polynomial is a second-degree polynomial where the value of the highest degree term is equal to $2$. The general form of a quadratic equation is given as $ax^{2}+bx+c=0$. Here, $a$ and $b$ are coefficients, $x$ is the unknown variable and $c$ is the constant term. As this equation contains a quadratic polynomial, hence, solving it will give two solutions. This implies that there can be two values of $x$.

Example

$x^{2}+4x+4=0$

To find the solutions of this equation we factorize it as

$x^{2}+4x+4=0$

$x^{2}+2x+2x+4$

$x(x+2)+2(x+2)$

$(x+2)(x+2)=0$

Thus, the roots of this quadratic equation will be $x=-2,x=-2$