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# R.D. Sharma solutions for Class 9 Mathematics chapter 6 - Factorisation of Polynomials

## Chapter 6 - Factorisation of Polynomials

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

3x2 - 4x +15

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

y^2 +2sqrt3

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

3sqrtx+sqrt2x

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

x - 4/x

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

x^12+y^3+t^50

Write the coefficient of x2 in each of the following:

17 -2x + 7x^2

Write the coefficient of x2 in each of the following:

9-12x +X^3

Write the coefficient of x2 in each of the following.

pi/6x^2- 3x+4

Write the coefficient of x2 in each of the following:

sqrt3x-7

Write the degrees of each of the following polynomials

7x3 + 4x2 – 3x + 12

Write the degrees of each of the following polynomials:

12-x+2x^3

Write the degrees of each of the following polynomials:

5y-sqrt2

Write the degrees of each of the following polynomials:

7=7-x^@

Write the degrees of each of the following polynomials

0

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

x+x^2 +4

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

3x-2

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

2x+x^2

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

3y

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

t^2+1

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

7t^4+4t^3+3t-2

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

x^2-xy+7y^2

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

x^2-2tx+7t^2-x+t

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

t^3_3t^2+4t-5

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

xy+yx+zx

Identify polynomials in the following:

f(x)=4x^3-x^2-3x+7

Identify polynomials in the following:

g(x)=2x^3-3x^2+sqrtx-1

Identify polynomials in the following:

p(x)=2/3x^3-7/4x+9

Identify polynomials in the following:

q(x)=2x^2-3x+4/x+2

Identify polynomials in the following:

h(x)=x^4-x^(3/2)+x-1

Identify polynomials in the following:

f(x)=2+3/x+4x

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

f(x)=0

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

g(x)=2x^3-7x+4

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

h(x)=-3x+1/2

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

p(x)=2x^2-x+4

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

q(x)=4x+3

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

r(x)=3x^2+4x^2+5x-7

Give one example each of a binomial of degree 35, and of a monomial of degree 100.

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If f(x)=2x^2-13x^2+17x+12 find f(2)

If f(x)=2x^2-13x^2+17x+12 find f-(3)

If f(x)=2x^2-13x^2+17x+12 find f(0)

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases:

f ( x ) = 3x +1, x = - 1/3

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases

f(x)=x^2- 1,x=1,-1

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases

g(x)=3x^2-2,  x=2/sqrt3     2/sqrt3

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases:

f ( x ) = 5x - pi , x = 4/5

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases:

f ( x) = x^2and x = 0

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases:

f(x) = lx + m , x = - m/l

Verify whether the indicated numbers are zeroes of the polynomials corresponding to them in the following cases:

f (x) = 2x +1, x = 1/2

If x = 2 is a root of the polynomial f(x) = 2x2 – 3x + 7a find the value of a.

If x = −1/2 is a zero of the polynomial p(x)=8x^3-ax^2 -+2 find the value of a.

## R.D. Sharma solutions for Class 9 Mathematics chapter 6 - Factorisation of Polynomials

R.D. Sharma solutions for Class 9 Mathematics chapter 6 (Factorisation of Polynomials) include all questions with solution and detail explanation from Mathematics for Class 9 by R D Sharma (2018-19 Session). This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has created the CBSE Mathematics for Class 9 by R D Sharma (2018-19 Session) solutions in a manner that help students grasp basic concepts better and faster.

Further, we at shaalaa.com are providing such solutions so that students can prepare for written exams. These R.D. Sharma textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 9 Mathematics chapter 6 Factorisation of Polynomials are Introduction of Polynomials, Polynomials in One Variable, Zeroes of a Polynomial, Remainder Theorem, Factorisation of Polynomials.

Using R.D. Sharma solutions for Class 9 Mathematics by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in R.D. Sharma Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 9 prefer R.D. Sharma Textbook Solutions to score more in exam.

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