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# R.D. Sharma solutions Mathematics for Class 9 by R D Sharma (2018-19 Session) 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

x+x^2 +4

3x-2

2x+x^2

3y

t^2+1

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.

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