Prasanna – Page 1015 – MCQ Questions

RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C

January 5, 2022June 18, 2018 by Prasanna

RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C

These Solutions are part of RS Aggarwal Solutions Class 9. Here we have given RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2C.

Other Exercises

Using remainder theorem, find the remainder when :

Question 1.
Solution:
f(x) = (x³ – 6x² + 9x + 3)
Let x-1 = 0, then x = 1
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q1

Question 2.
Solution:
f(x) = 2x³ – 5x² + 9x – 8)
Let x-3 = 0, then x = 3
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q2.1

Question 3.
Solution:
f(x) = (3x⁴ – 6x² – 8x + 2)
Let x-2 = 0, the x = 2
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q2.3.1

Question 4.
Solution:
f(x) = (x³ – 7x² + 6x + 4)
Let x-6 = 0,then x=6
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q2.4.1

Question 5.
Solution:
f(x)=(x³ – 6x² + 13x + 60)
Let x+2=0,then x=-2
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q5.1

Question 6.
Solution:
f(x)=(2x⁴ + 6x³ + 2x² + x – 8)
Let x+3=0,then x=-3
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q6.1

Question 7.
Solution:
f(x)=(4x³ – 12x² + 11x – 5)
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q7.1

Question 8.
Solution:
f(x)=(81x⁴ + 54x³ – 9x² – 3x + 2)
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q8.1

Question 9.
Solution:
f(x)=(x³ – ax² + 2x – a)
let x-a=0, then x=a
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q9.1

Question 10.
Solution:
f(x)=(ax³+ 3x² – 3)
g(x)=(2x³ -5x + a)
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q10.1

Question 11.
Solution:
f(x)=x⁴ – 2x³ + 3x² – ax + b
let x-1=0, then x=1
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2C Q11.1

Hope given RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2C are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.

RD Sharma Class 9 Solutions Chapter 3 Rationalisation Ex 3.1

January 5, 2022June 18, 2018 by Prasanna

RD Sharma Class 9 Solutions Chapter 3 Rationalisation Ex 3.1

These Solutions are part of RD Sharma Class 9 Solutions. Here we have given RD Sharma Class 9 Solutions Chapter 3 Rationalisation Ex 3.1

Question 1.
Simplify each of the following:
RD Sharma Class 9 Solutions Chapter 3 Rationalisation Ex 3.1 Q1.1
Solution:

Question 2.
Simplify the following expressions:
(i) (4 + \(\sqrt { 7 } \)) (3 + \(\sqrt { 2 } \))
(ii) (3 + \(\sqrt { 3 } \) )(5- \(\sqrt { 2 } \))
(iii) (\(\sqrt { 5 } \) -2)(\(\sqrt { 3 } \) – \(\sqrt { 5 } \))
Solution:
RD Sharma Class 9 Solutions Chapter 3 Rationalisation Ex 3.1 Q2.1

Question 3.
Simplify the following expressions:
(i) (11 + \(\sqrt { 11 } \)) (11 – \(\sqrt { 11 } \))
(ii) (5 + \(\sqrt { 7 } \) ) (5 – \(\sqrt { 7 } \) )
(iii) (\(\sqrt { 8 } \) – \(\sqrt { 2 } \)) (\(\sqrt { 8 } \)+ \(\sqrt { 2 } \))
Solution:
RD Sharma Class 9 Solutions Chapter 3 Rationalisation Ex 3.1 Q3.1

Question 4.
Simplify the following expressions:
(i) (\(\sqrt { 3 } \)+\(\sqrt { 7 } \))²
(ii) (\(\sqrt { 5 } \) – \(\sqrt { 3 } \) )²(iii) (2\(\sqrt { 5 } \) + 3 \(\sqrt { 2} \))²
Solution:
(i)

Hope given RD Sharma Class 9 Solutions Chapter 3 Rationalisation Ex 3.1 are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.

RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5

January 5, 2022June 18, 2018 by Prasanna

RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5

Other Exercises

Question 1.
Multiply:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5 1
Solution:

Question 2.
Multiply:
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5 4
Solution:

Question 3.
Simplify each of the following and express the result as a rational number in standard form :
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5 9
Solution:

Question 4.
Simplify :
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5 12

Solution:

Question 5.
Simplify :
RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5 18
Solution:

Hope given RD Sharma Class 8 Solutions Chapter 1 Rational Numbers Ex 1.5 are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.

RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2B

January 5, 2022June 18, 2018 by Prasanna

RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2B

These Solutions are part of RS Aggarwal Solutions Class 9. Here we have given RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2B.

Other Exercises

Question 1.
Solution:
p(x) = 5 – 4x + 2x²
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2B Q1.1

Question 2.
Solution:
p(y) = 4 + 3y – y² + 5y³
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2B Q2.1

Question 3.
Solution:
f(t)=4t²-3t+6
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2B Q3.1

Question 4.
Solution:
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2B Q4.1

Question 5.
Solution:
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2B Q5.1

Hope given RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2B are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.

RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2A

January 5, 2022June 18, 2018 by Prasanna

RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2A

These Solutions are part of RS Aggarwal Solutions Class 9. Here we have given RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2A.

Other Exercises

Question 1.
Solution:
(i) x⁵-2x³+x+7 is a polynomial and its degree is 5
(ii) y³-√3y is a polynomial and its degree is 3
RS Aggarwal Class 9 Solutions Chapter 2 Polynomials Ex 2A 1

Question 2.
Solution:
(i) Degree is 1
(ii) degree is 3
(iii) degree is zero
(iv) degree is 7
(v) degree is 10
(vi) degree is 2

Question 3.
Solution:
(i) Coefficient of x³ is -5.
(ii) Coefficient of x is -2√2
(iii) Coefficient of x² is \(\frac { \pi }{ 3 } \)
(iv) Coefficient of x² is 0

Question 4.
Solution:
(i) Example of a binomial of degree 27 is 4x²⁷ – 5
(ii) Example of a monomial of degree 16 is x¹⁶
(iii) Example of trinomial of degree 3 is 2x³ + 7x + 4

Question 5.
Solution:
(i) 2x² + 4x is a quadratic polynomial. (Degree 2)
(ii) x – x³ is a cubic polynomial (Degree 3)
(iii) 2 – y – y² is a quadratic polynomial (Degree 2)
(iv) – 7 + z is a linear polynomial (Degree 1)
(v) 5t is a linear polynomial (Degree 1)
(vi) p³ is a cubic polynomial (Degree 3)

Hope given RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2A are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.