In this chapter, we provide RD Sharma Solutions for class 9 maths Solutions Factorization of Polynomials for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Solutions for class 9 maths Solutions Factorization of Polynomials pdf, free RD Sharma Solutions for class 9 maths Solutions Factorization of Polynomials book pdf download. Now you will get step by step solution to each question.

Feature Contents

## RD Sharma class 9 maths Solutions Factorization of Polynomials

### RD Sharma Class 9 Solutions Chapter 6 Factorisation of Polynomials Ex 5.1

Question 1.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:

Solution:

(i) 3x^{2} – 4x + 15,

(ii) y^{2} + 2(sqrt { 3 } ) are polynomial is one variable. Others are not polynomial or polynomials in one variable.

Question 2.

Write the coefficient of x^{2} in each of the following:

Solution:

Coefficient of x^{2},

in (i) is 7

in (ii) is 0 as there is no term of x^{2} i.e. 0 x^{2}

Question 3.

Write the degrees of each of the following polynomials:

(i) 7x^{3} + 4x^{2} – 3x + 12

(ii) 12 – x + 2x^{3}

(iii) 5y – (sqrt { 2 } )

(iv) 7

(v) 0

Solution:

(i) Degree of the polynomial 7x^{3} + 4x^{2} – 3x + 12 is 3

(ii) Degree of the polynomial 12 – x + 2x^{3} is 3

(iii) Degree of the polynomial 5y – (sqrt { 2 } )is 1

(iv) Degree of the polynomial 7 is 0

(v) Degree of the polynomial 0 is 0 undefined.

Question 4.

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

(i) x + x^{2} + 4

(ii) 3x – 2

(iii) 2x + x^{2} [NCERT]

(iv) 3y

(v) t^{2} + 1

(v) 7t^{4} + 4t^{3} + 3t – 2

Solution:

(i) x + x^{2} + 4 It is a quadratic polynomial.

(ii) 3x – 2 : It is a linear polynomial.

(iii) 2x + x^{2}: It is a quadratic polynomial.

(iv) 3y It is a linear polynomial.

(v) t^{2}+ 1 It is a quadratic polynomial.

(vi) 7t^{4} + 4t^{3} + 3t – 2 It is a biquadratic polynomial.

Question 5.

Classify the following polynomials as polynomials in one-variable, two-variables etc.

(i) x^{2}-xy +7y^{2}

(ii) x^{2} – 2tx + 7t^{2} – x + t

(iii) t^{3} -3t^{2} + 4t-5

(iv) xy + yz + zx

Solution:

(i) x^{2} – xy + 7y^{2}: It is a polynomial in two j variables x, y.

(ii) x^{2} – 2tx + 7t^{2} – x + t: It is a polynomial in two variables in x, t.

(iii) t^{3} – 3t^{2} + 4t – 5 : It is a polynomial in one variable in t.

(iv) xy +yz + zx : It is a polynomial in 3 variables in x, y and

Question 6.

Identify polynomials in the following:

Solution:

Question 7.

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

Solution:

(i) f(x) = 0 : It is a constant polynomial as it has no variable.

(ii) g(x) = 2x^{3} – 7x + 4 : It is a cubic polynomial.

(iii) h(x) = -3x + (frac { 1 }{ 2 }) : It is a linear polynomial.

(iv) p(x) = 2x^{2} – x + 4 : It is a quadratic polynomial.

(v) q(x) = 4x + 3 : It is linear polynomial.

(vi) r(x) = 3x^{3} + 4x^{2} + 5x – 7 : It is a cubic polynomial.

Question 8.

Give one example each of a binomial of degree 35 and of a monomial of degree 100. [NCERT]

Solution:

Example of a binomial of degree 35 = 9x^{35} + 16

Example of a monomial of degree 100 = 2y^{100}

### RD Sharma class 9 maths Solutions Factorization of Polynomials Chapter 6 Exercise 6.1

RD Sharma class 9 maths Solutions Factorization of Polynomials Chapter 6 Exercise 6.1 Q 1.

**All Chapter RD Sharma Solutions For Class 9 Maths**

*************************************************

I think you got complete solutions for this chapter. If You have any queries regarding this chapter, please comment on the below section our subject teacher will answer you. We tried our best to give complete solutions so you got good marks in your exam.

If these solutions have helped you, you can also share alarity.in to your friends.