- Quadratic Polynomial
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- Graphing quadratics Polynomial
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- what is a quadratic equation
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- How to Solve Quadratic equations
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- Factoring quadratics equations
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- Solving quadratic equations by completing the square
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- Solving quadratic equations by using Quadratic formula
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- Nature of roots of Quadratic equation
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- Problem based on discriminant of a quadratic equation
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- Quadratic word problems

- NCERT Solutions Quadratic Equation Exercise 1
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- NCERT Solutions Quadratic Equation Exercise 2
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- NCERT Solutions Quadratic Equation Exercise 3
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- NCERT Solutions Quadratic Equation Exercise 4

It is a polynomial of degree 2

Examples:

$P(x) =3x^2-11x-2$

$P(x)=x^2 -x -11$

$P(x)=x^2 + x -897$

$P(x) =3x^2-11x-2$

$P(x)=x^2 -x -11$

$P(x)=x^2 + x -897$

Lets us assume y= p(x) where p(x) is the polynomial of quadratic type Now we can plot the equation y=p(x) on the Cartesian plane by taking various values of x and y obtained by putting the values. The plot or graph obtained can be of any shapes The zero's of the polynomial are the points where the graph meet x axis in the Cartesian plane. If the graph does not meet x axis ,then the polynomial does not have any zero's. Let us take some useful polynomial and shapes obtained on the Cartesian plane

$ax^2 +bx+c =0$ where a ≠0

$6x^2-x-2=0$

$x^2 -x -20=0$

$x^2 + x -300 = 0$

It is used in many field and it has many application in Mathematics

John has a area of a rectangular plot is 528 m

For solution , we can assume breadth is x ,then lenght would be (2x+1)

Now $528=x(2x+1)$

or $2x^2+x -528 =0$

Which is a quadratic equation and the required representation of the problem mathematically

A real number $\alpha$ is called the root or solution of the quadratic equation if

$a \alpha^2 +b \alpha +c=0$

- The root of the quadratic equation is the zeroes of the polynomial p(x).
- We know from chapter two that a polynomial of degree can have max two zeroes. So a quadratic equation can have maximum two roots
- A quadratic equation has no real roots if b
^{2}- 4ac < 0 - A graphing quadratic equation is same as graphing quadratic polynomial as explained above

Given below are the links of some of the reference books for class 10 math.

- Oswaal CBSE Question Bank Class 10 Hindi B, English Communication Science, Social Science & Maths (Set of 5 Books)
- Mathematics for Class 10 by R D Sharma
- Pearson IIT Foundation Maths Class 10
- Secondary School Mathematics for Class 10
- Xam Idea Complete Course Mathematics Class 10

You can use above books for extra knowledge and practicing different questions.

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