# Tenth maths guide for Polynomials, Exercise 3.1, 3.2, 3.3, 3.4.

Tenth class mathematics solutions for text book problems. These are very easy to understand.

Maths solutions for 10th class Andhra pradesh and Telangana.

You should study the textbook lesson Polynomials very well.

You can observe the solutions given below and try them in your own method.

**You can also see the textbook solutions for**

1. Real numbers

2. Sets

3. Polynomials

4. Pair of linear equations in two variables

6. Progressions

9. Tangents and Secants to a Circle

10. Mensuration

11. Trigonometry

12. Applications of trigonometry

13. Probability

14. Statistics

Model papers for maths SSC Class 10 and Inter

# Solutions for class 10 maths chapter 3

## Polynomials

**Chapter – 3**

**Exercise 3.1**

**Maths class 10 solutions SSC Chapter 3 Polynomials Exercise 3.1 problem 1**

**Maths class 10 solutions SSC Chapter 3 Polynomials Exercise 3.1 problem 3**

**Maths class 10 solutions SSC Chapter 3 Polynomials Exercise 3.1 problem 1**

## SSC maths polynomials solutions

**Exercise 3.2**

**Maths class 10 solutions SSC Chapter 3 Polynomials Exercise 3.2 problem 1**

1. Find the zeroes of the given polynomials

i. P(x) = 3x

ii. P(x) = x square + 5x + 6

iii. P(x) = (x + 2) (x + 3)

iv. x power four – 16

**Maths class 10 solutions SSC Chapter 3 Polynomials Exercise 3.2 problem 2**

**The graphs of y = p(x) are given in the figure below, for some polynomials p(x). In each case, find the number of zeros of p(x).**

i

iI

iii

iv

Graphs : i, ii, , iv, v

Draw the graphs of the given polynomial and find the zeros. Justify the answers.

i. p(x) = x^2 – x – 12.

Graph i

ii. p(x) = x^2 – 6x + 9

Graph ii

p(x) = x^2 – 4x + 4

Graph iii

Graph iv

Graph v

**10th maths textbook solutions SSC Chapter 3 Polynomials Exercise 3.2 problem 4**

Why are 1/4 and – 1 zeroes of the polynomials p(x) = 4 x^2 + 3x – 1?

## Maths class X polynomials solutions

**Exercise 3.3**

**10th class maths textbook solutions SSC Chapter 3 Polynomials Exercise 3.3 problem 1**

**Find the zeros of the following quadratic polynomials and a verify the relationship between the zeros and the coefficients.**

**10th class maths textbook solutions SSC Chapter 3 Polynomials Exercise 3.3 problem 3**

Find the quadratic polynomial in each case, with they given numbers as the sum and product of its zeros respectively.

i. 1/4, – 1

ii. √2, 1/3

iii. 0, √5

iv. 1, 1

v, -1/4, 1/4

vi. 4, 1

**10th class maths textbook solutions SSC Chapter 3 Polynomials Exercise 3.3 problem 3**

**10th class maths textbook solutions SSC Chapter 3 Polynomials Exercise 3.3 problem 4**

### 10th class maths polynomials solutions

**Exercise 3.4**

**10th class math book solutions SSC Chapter 3 Polynomials Exercise 3.4 problem 1**

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following.

**10th class math book solutions SSC Chapter 3 Polynomials Exercise 3.4 problem 2**

Check in which case the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial.

**10th class math book solutions SSC Chapter 3 Polynomials Exercise 3.4 problem 3**

**10th class math book solutions SSC Chapter 3 Polynomials Exercise 3.4 problem 4**

**Chapter 3 Polynomials Exercise 3.4 problem 5 10th class math book solutions SSC**

Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm and

i. deg p(x) = deg q(x)

ii deg q(x) = deg r(x)

iii. deg r(x) = 0.

### Polynomials class 10 maths

**Optinal exercise**

**Chapter 3 Polynomials Optional exercise problem 1 10th class math book solutions SSC**

Verify that the number given along side the cubic polynomials below are their zeros. Also verify the relationship between the zeros and coefficients in each case.

**Chapter 3 Polynomials optional Exercise problem 2 10th class math book solutions SSC**

**Chapter 3 Polynomials Optional Exercise problem 3 10th class math book solutions SSC**

**Chapter 3 Polynomials Otional Exercise problem 4 10th class math book solutions SSC**

**Chapter 3 Polynomials Optional Exercise problem 5 10th class math book solutions SSC**

**Some more solutions**

4.

Graph

Graph

Graph

Graph

Graph

**Note :**

Observe the solutions and try them in your own methods.

Inter maths solutions 1b straight lines,

Inter maths solutions 2a complex numbers

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