Polynomials [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 1 - 9 of 82

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Question 1

Question MCQ▾

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

Choices

Choice (4)Response

a.

6

b.

-3

c.

-8

d.

-1

Edit

Question 2

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 3

Question MCQ▾

If are the roots of then is ________

Choices

Choice (4)Response

a.

-15

b.

-20

c.

-10

d.

-5

Edit

Question 4

Question MCQ▾

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

Choices

Choice (4)Response

a.

5

b.

7

c.

9

d.

2

Edit

Question 5

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 6

Question MCQ▾

The difference of roots of the quadratic equation is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 7

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 8

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 9

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit