We are already aware of the term Polynomial that we studied in class 9. Let us now learn more about polynomial.

In a polynomial, the highest power of the polynomial is referred as the degree of the polynomial. A polynomial with degree 1 is known as linear polynomial, polynomial with degree 2 is binomial or quadratic polynomial, whereas with degree three is cubic polynomial.

For any given polynomial, the value of x obtained by substituting the value of polynomial as 0 is known as the zero of the polynomial. These are also termed as roots of the equation.The Graphical meaning of the zeros of the polynomial is that, the curve cuts the x axis a point (k,0), where k is the root of the polynomial.

**Note- **A polynomial of degree n will have n roots.

A quadratic equation \(ax^{2}+bx+c=0\)

The sum of roots(\(\alpha + \beta = -\frac{b}{a}\)

Product of the roots (\(\alpha \beta = \frac{c}{a}\)

**Division algorithm of Polynomial-**

The division algorithm states that any given polynomial p(x) and any non-zero polynomial g(x), there are polynomials q(x) and r(x) such that,

\(p(x) = g(x)\times q(x)+ r(x)\)

where, \(r(x)=0\)

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