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A quadratic polynomial is one in which the highest power of a variable term in the polynomial expression is equal to <math>2</math>.
=== Definition ===
A quadratic polynomial is a second-degree polynomial where the value of the highest degree term is equal to <math>2</math>. The general form of a quadratic equation is given as <math>ax^2+bx+c=0</math>. Here, <math>a</math> and <math>b</math> are coefficients, <math>x</math> is the unknown variable and <math>c</math> 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 <math>x</math>.
=== Example ===
<math>x^2+4x+4=0</math>
To find the solutions of this equation we factorize it as
<math>x^2+4x+4=0</math>
<math>x^2+2x+2x+4</math>
<math>x(x+2)+2(x+2)</math>
<math>(x+2)(x+2)=0</math>
Thus, the roots of this quadratic equation will be <math>x=-2, x=-2</math>


[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]
[[Category:बहुपद]][[Category:कक्षा-9]][[Category:गणित]]
Quadratic Polynomial

Revision as of 10:23, 11 May 2024

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

Definition

A quadratic polynomial is a second-degree polynomial where the value of the highest degree term is equal to . The general form of a quadratic equation is given as . Here, and are coefficients, is the unknown variable and 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 .

Example

To find the solutions of this equation we factorize it as

Thus, the roots of this quadratic equation will be