## 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**

- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2A
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2B
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2C
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2D
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2E
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2F
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2G
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2H
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2I
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2J
- RS Aggarwal Solutions Class 9 Chapter 2 Polynomials Ex 2K

**Using remainder theorem, find the remainder when :**

**Question 1.**

**(x ^{3} – 6x^{2} + 9x + 3) is divided by (x – 1)**

**Solution:**

f(x) = (x

^{3}– 6x

^{2}+ 9x + 3)

Let x-1 = 0, then x = 1

**Question 2.**

**(2x ^{3} – 5x^{2} + 9x – 8) is divided by (x -3)**

**Solution:**

f(x) = 2x

^{3}– 5x

^{2}+ 9x – 8)

Let x-3 = 0, then x = 3

**Question 3.**

**(3x ^{4} – 6x^{2} – 8x + 2) is divided by (x – 2)**

**Solution:**

f(x) = (3x

^{4}– 6x

^{2}– 8x + 2)

Let x-2 = 0, the x = 2

**Question 4.**

**(x ^{3} – 7x^{2} + 6x + 4) is divided by (x – 6)**

**Solution:**

f(x) = (x

^{3}– 7x

^{2}+ 6x + 4)

Let x-6 = 0,then x=6

**Question 5.**

**(x ^{3} – 6x^{2} + 13x + 60) is divided by (x + 2)**

**Solution:**

f(x)=(x

^{3}– 6x

^{2}+ 13x + 60)

Let x+2=0,then x=-2

**Question 6.**

**(2x ^{4} + 6x^{3} + 2x^{2} + x – 8) is divided by (x + 3)**

**Solution:**

f(x)=(2x

^{4}+ 6x

^{3}+ 2x

^{2}+ x – 8)

Let x+3=0,then x=-3

**Question 7.**

**(4x ^{3} – 12x^{2} + 11x – 5) is divided by (2x – 1).**

**Solution:**

f(x)=(4x

^{3}– 12x

^{2}+ 11x – 5)

**Question 8.**

**(81x ^{4} + 54x^{3} – 9x^{2} – 3x + 2) is divided by (3x + 2)**

**Solution:**

**f(x)=(81x**

^{4}+ 54x^{3}– 9x^{2}– 3x + 2)**Question 9.**

**(x ^{3} – ax^{2} + 2x – a) is divided by (x – a)**

**Solution:**

f(x)=(x

^{3}– ax

^{2}+ 2x – a)

let x-a=0, then x=a

**Question 10.**

**The polynomials (ax ^{3} + 3x^{2} – 3) and (2x^{3} -5x + a) when divided by (x – 4),leave the same remainder.Find the value of a.**

**Solution:**

f(x)=(ax

^{3}+ 3x

^{2}– 3)

g(x)=(2x

^{3}-5x + a)

**Question 11.**

**The polynomial f (x) = x ^{4} – 2x^{3} + 3x^{2} – ax + b when divided by (x – 1) and (x + 1) leaves the remainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder when f(x) is divided by (x – 2).**

**Solution:**

f(x)=x

^{4}– 2x

^{3}+ 3x

^{2}– ax + b

let x-1=0, then x=1

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

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Pragya kaushal says

Your answers are correct but not from new edition so it is not enough or helpful for me…