NCERT Maths Solutions for Ex 2.2 class 10 Polynomials is the perfect guide to boost up your preparation during CBSE 10th Class Maths Examination.

## RS Aggarwal Class 10 Solutions Chapter 2 Polynomials Ex 2B

These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Class 10 Solutions Chapter 2 Polynomials Ex 2B. You must go through **NCERT Solutions for Class 10 Maths** to get better score in CBSE Board exams along with RS Aggarwal Class 10 Solutions.

**Question 1.**

**Solution:**

Zeros are 3, -2, 1 of

p(x) = x^{3} – 2x^{2} – 5x + 6

Here, a = 1, b = -2, c = -5, d = 6

We know that if α, β and γ are the roots of

f(x) = ax^{3} + bx^{2} + cx + d, then

**Question 2.**

**Solution:**

Zeros are 5, -2 and \(\frac { 1 }{ 3 }\) of

**Question 3.**

**Solution:**

**Question 4.**

**Solution:**

**Question 5.**

**Solution:**

**Find the quotient and the remainder when:**

**Question 6.**

**Solution:**

**Question 7.**

**Solution:**

**Question 8.**

**Solution:**

**Question 9.**

**Solution:**

f(x) = 2x^{4} + 3x^{3} – 2x^{2} – 9x – 12

g(x) = x^{2} – 3

Quotient [q(x)] = 2x^{2} + 3x + 4

Remainder [r(x)] = 0

Remainder is zero.

x^{2} – 3 is a factor of f(x)

**Question 10.**

**Solution:**

**Question 11.**

**Solution:**

**Question 12.**

**Solution:**

= (x + 1) (x + 4) (x – 3)

If x + 4 = 0, then x = -4

If x – 3 = 0, then x = 3

Zeros are -1, -4, 3

**Question 13.**

**Solution:**

**Question 14.**

**Solution:**

=> (x – 3) (x + 3) [x (x + 2) – 1 (x + 2)]

=> (x – 3) (x + 3) (x + 2) (x – 1)

Other zeros will be

If x + 2 = 0 then x = -2

and if x – 1 =0, then x = 1

Zeros are 3, -3, -2, 1

**Question 15.**

**Solution:**

2 and -2 are the two zeros of the polynomial

f(x) = x^{4} + x^{3} – 34x^{2} – 4x + 120,

Then (x – 2) (x + 2) or x^{2} – 4 will its the factor of f(x)

Now dividing f(x) by x^{2} – 4, we get

f(x) = (x – 2) (x + 2) (x^{2} + x – 30)

= (x – 2)(x + 2)[x^{2} + 6x – 5x – 30]

= (x – 2) (x + 2)[x(x + 6) – 5(x + 6)]

= (x – 2) (x + 2) (x + 6) (x – 5)

Other two zeros are

If x + 6 = 0, then x = -6 and

if x – 5 = 0, then x = 5

Roots of f(x) are 2, -2, -6, 5

**Question 16.**

**Solution:**

Other two zeros are :

if x + 5 = 0, then x = -5

and if x – 4 = 0, then x = 4

Hence, all the zeros of f(x) are : √3, – √3, 4, -5

**Question 17.**

**Solution:**

√3 and – √3 are the zeros of the polynomial

f(x) = 2x^{4} – 3x^{3} – 5x^{2} + 9x – 3

=> (x – √3) (x + √3) or (x^{2} – 3) is a factor of f(x)

Now, dividing f(x) by x^{2} – 3, we get

**Question 18.**

**Solution:**

**Question 19.**

**Solution:**

Hope given RS Aggarwal Solutions Class 10 Chapter 2 Polynomials Ex 2B are helpful to complete your math homework.

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