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Polynomials Questions and Answer Set 1

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. 2x2 + 5x + 4

B. 3x2 + 2x + 6

C. 2x2 – 5x + 14

D. 3x2 – 2x + 10

Answer: A

Polynomials Questions and Answer Set 1: Ques No 2

If the polynomial ax4 + 2x – 3x2 + 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)= px7+qx3+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 a2 + b2 + c= 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– 3x+ 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 2x3 – ax2 – 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 x3 – 4x2 + 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

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