Polynomials (IMO- Mathematics Olympiad Class 9): Questions 42 - 49 of 104

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Question number: 42

» Polynomials

MCQ▾

Question

Find the remainder when 4p3+4p2p1 is divided by 2p+1 .

Choices

Choice (4) Response
a.

0

b.

1

c.

3

d.

6

Question number: 43

» Polynomials

MCQ▾

Question

If A31A3=14 then A1A =

Choices

Choice (4) Response
a.

4

b.

2

c.

3

d.

1

Question number: 44

» Polynomials

MCQ▾

Question

The product of all the solutions of x416=0 , is ________.

Choices

Choice (4) Response
a.

16

b.

4

c.

4

d.

16

Question number: 45

» Polynomials

MCQ▾

Question

The number of positive integers k for which the equation kx12=3k has an integer solution for x is ________

Choices

Choice (4) Response
a.

2

b.

3

c.

5

d.

8

Question number: 46

» Polynomials

MCQ▾

Question

If de+ef+fd=0 , then 1d2ef+1e2fd+1f2de =

Choices

Choice (4) Response
a.

1

b.

0

c.

3

d.

2

Question number: 47

» Polynomials

MCQ▾

Question

If 2x3+ax2+bx6 has (x1) as a factor and leaves a remainder 2 when divided by (x2) , find the values of ‘a’ and ‘b’.

Choices

Choice (4) Response
a.

a=8,b=12

b.

a=4,b=10

c.

a=4,b=10

d.

a=8,b=12

Question number: 48

» Polynomials

MCQ▾

Question

45a280=

Choices

Choice (4) Response
a.

5(3a+4)(3a4)

b.

3(2a+3)(2a3)

c.

5(3a3)(3a+3)

d.

3(3+3a)(33a)

Question number: 49

» Polynomials

MCQ▾

Question

Given that x=2 is a solution of x37x+6=0 . The other solutions are ________.

Choices

Choice (4) Response
a.

1,3

b.

1,2

c.

1,3

d.

1,2

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