# Polynomials Questions and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Polynomials Question and Answer Set 1**. It will help you to practice the questions on the topics of maths as polynomials based questions of algebra.

**Polynomials Questions and Answer Set 1: Ques No 1**

If a quadratic polynomial is divided by (x – 1), (x – 2) and (x – 3), then the remainders are 11, 22 and 37 respectively. The quadratic polynomial is

**Options:**

A. 2x^{2} + 5x + 4

B. 3x^{2} + 2x + 6

C. 2x^{2} – 5x + 14

D. 3x^{2} – 2x + 10

**Answer: A**

**Polynomials Questions and Answer Set 1: Ques No 2**

If the polynomial ax^{4} + 2x – 3x^{2} + bx – 4 has (x + 2) and (x – 2) as factors, then the value of (a + b) is

**Options:**

A. 1

B. 3

C. -1

D. -3

**Answer: C**

**Polynomials Questions and Answer Set 1: Ques No 3**

If a polynomial f(x)= px^{7}+qx^{3}+rx-5 where p,q,r are consonants and f(-7) = 7, then the value of f(7) is

**Options:**

A. -18

B. -13

C. -14

D. 7

**Answer: A**

**Polynomials Questions and Answer Set 1: Ques No 4**

If a^{2} + b^{2} + c^{2 }= ab + bc + ca, where a, b, c are non zero real numbers, then the value of (a+b-c)/(a-b+c) is

**Options:**

A. 1

B. -1

C. 2

D. -3

**Answer: A**

**Polynomials Questions and Answer Set 1: Ques No 5**

The remainder when the polynomial x^{4 }– 3x^{2 }+ 7x – 10 is divided by (x – 2) is

**Options:**

A. -3

B. -20

C. 18

D. 8

**Answer: D**

**Polynomials Questions and Answer Set 1: Ques No 6**

If 2x^{3} – ax^{2} – bx – 14 has (x + 2) as a factor and when it is divided by (x + 3), then the remainder is -26, then the values of a and b are

**Options:**

A. a = 1 and b = 17

B. a = 1 and b = -17

C. a = -1 and b = 17

D. a = -1 and b = -17

**Answer: **

**Polynomials Questions and Answer Set 1: Ques No 7**

If the cubic polynomial x^{3} – 4x^{2} + mx – 2 has 3 positive real roots and two of them are t and 1/t, then the value of t is

**Options:**

A. 5

B. -11

C. 8

D. -2

**Answer: A**