Polynomials (IMO- Mathematics Olympiad (SOF) Class 10): Questions 1 - 8 of 81

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Question number: 1

» Polynomials

MCQ▾

Question

If the zero of the quadratic polynomial is 3, then the value of k is ________

Choices

Choice (4) Response

a.

-8

b.

-3

c.

6

d.

-1

Question number: 2

» Polynomials

MCQ▾

Question

If are the roots of the cubic, the value of is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 3

» Polynomials

MCQ▾

Question

If are the roots of then is ________

Choices

Choice (4) Response

a.

-10

b.

-5

c.

-15

d.

-20

Question number: 4

» Polynomials

MCQ▾

Question

If one zero of the polynomial is a reciprocal of the other, then k is equal to ________

Choices

Choice (4) Response

a.

2

b.

9

c.

7

d.

5

Question number: 5

» Polynomials

MCQ▾

Question

If are the roots of the equation, then the equation whose roots are and is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 6

» Polynomials

MCQ▾

Question

The difference of roots of the quadratic equation is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 7

» Polynomials

MCQ▾

Question

The sum of the reciprocals of the roots of the equation is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 8

» Polynomials

MCQ▾

Question

If are the roots of the equation, then the quadratic equation whose roots are and is ________

Choices

Choice (4) Response

a.

b.

c.

d.

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