ABOUT THIS COURSE

  1. Introduction
  2. Geometrical Meaning of the Zeroes of a Polynomial
  3. Relationship between Zeroes and Coefficients of a Polynomial
  4. Division Algorithm for Polynomials
  5. Summary

Maths ( Polynomials )

Duration: 120 Minutes | Course Code: 1128

Rs. 590

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Chapter 2 - Polynomials

The easiest way to understand the chapter!

An expression containing variables, constant and any arithmetic operation is called polynomial. Polynomial comes from ‘poly’ means ‘many’ and ‘nominal’ means ‘terms,’ so we can also say “many terms.”

Polynomials are of three types:

·         Monomial = a polynomial which contains only one term, for example, = 3xy2

·         Binomial = a polynomial which contains two terms, for example, = 5x-1

·         Trinomial = a polynomial which contain three term for example = 3x2 + 5y-3

The ScoreXTM provides the best study material for CBSE Class 10 maths polynomial chapter to get the desired results.

What is the format of the course?

In the course of CBSE class 10 math chapter 2, we cover all the main topics given in the school book. Some are:-

1.         Some basic terms.

•           Degree of the polynomial: - The highest power of the variable in a polynomial is termed as the highest degree of the polynomial.

•           Constant polynomial: - A polynomial of degree zero is called constant polynomial.

•           Linear polynomial: - A polynomial of degree one E.g.:- 5x+1

•           Quadratic polynomial: - A polynomial of degree two E.g.:- 6x2-4x+1

•           Cubic polynomial: - A polynomial of degree three E.g.:- 3x3+6x2-4x-15

•           Bi-quadratic polynomial: - A polynomial of degree four E.g.:-24x4 +15x3 - 3x2 +x+1

2.         What is the Standard form?

The standard form for writing a polynomial put the terms with the highest degree first.

3.         What is Factor Theorem?

Let p(x) be a polynomial of degree n>1 and let ‘a’ be any real number. If p (a) =0 then (x-a) is a factor of p(x)

PROOF: - By the reminder theorem, p(x) = (x-a) q(x) + p (a)

1 if p (a) = 0 then p(x) = (x-a) q(x) which shows that x-a is a factor of p(x)

2 x-a is factor of p(x)

P(x) = (x-a) g(x) for same polynomial g(x)

So, p (a) = (a-a) g (a) =0

With our course, the learning becomes easy and much more efficient. Enrol for it now!

  1. Q.No 1 - During World War I Germany was defeated in the Battle of Verdun on the western front and Romania declared war on the eastern front in the year

    1914 AD

    1915 AD

    1916 AD

    1917 AD

    1/10  Next
  2. Q.No 2 - Find the wrong number in the following series. 3252 , 3080 , 2958 , 2876 , 2826

    3080

    2876

    2826

    3252

    None

  3. Q.No 3 - Look carefully for the pattern, and then choose which pair of numbers comes next 42, 40, 38, 35, 33, 31, 28

    25, 22

    26,23

    26, 24

    26,22

    None

  4. Q.No 4 - Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

    1/3

    1/8

    2/8

    1/16

    None

  5. Q.No 5 - 22, 42, 64, 88, ?

    114

    112

    116

    110

    None

  6. Q.No 6 - Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?

    7

    10

    12

    13

    None

  7. Q.No 7 - Look carefully for the pattern, and then choose which pair of numbers comes next 9, 16, 23, 30, 37, 44, 51

    59,66

    58,65

    54, 61

    56,62

    None

  8. Q.No 8 - The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

    0

    1

    10

    19

    None

  9. Q.No 9 - 1, 2, 3, 5, 8, ?

    11

    13

    15

    9

    None of the above

  10. Q.No 10 - 5, 50, 45, 450, 445, ?, 4445

    4450

    4600

    4550

    4500

    None of the above

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