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## CBSE MATHS FORMULA CLASS 10 POLYNOMIALS CHAPTER 2

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**Degree of polynomials**

The highest power of x in p(x) is called the degree of the polynomial p(x).

-Linear polynomial is a polynomial of degree 1

– Quadratic polynomial is a polynomial of degree 2

– Cubic polynomial is a polynomial of degree 3

**General form of polynomial**

**Value of polynomial**

If p(x) is a polynomial in x, if k is any real number, then the real number obtained by replacing x by k in p(x), is called the value of p(x) at x = k and is denoted by p(k).

**Zero of a Polynomial**

Zero of a polynomial p(x) is a real number k such that **“p(k) = 0”**

In general, p(x) = ax + b

⟹ p(x) = ax + b

But p(x) = ax + b

⟹ ak + b = 0

⟹ k = -b/a

It is clear that, zero of a linear polynomial is related to its coefficients.

**Relationship between zeroes and coefficients of a polynomial**

**Geometric Meaning of the Zeroes of the Polynomial:**

Let’s assume

Y= p (x), where p(x) is the polynomial of any form.

Now we can plot the equation y=p(x) on the Cartesian plane by taking various values of x and y obtained by purring the values. The plot or graph obtained can be of any shape.

The zeroes of the polynomial are the points where the graph meets the x-axis in the Cartesian plane. If the graph does not meet the x-axis, then the polynomial does not have any zeroes.

Let us take some useful polynomial and shapes obtained on the Cartesian plane