Polynomials (IMO- Mathematics Olympiad Class 10): Questions 13 - 19 of 80

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Question number: 13

» Polynomials

MCQ▾

Question

Every cubic polynomial can have at the most ________

Choices

Choice (4) Response
a.

Five zeroes

b.

Nine zeroes

c.

Seven zeroes

d.

Three zero

Question number: 14

» Polynomials

MCQ▾

Question

If αandβ are two numbers such that α+β=20,αβ=10 . Then αandβ are the roots of the quadratic equation ________

Choices

Choice (4) Response
a.

x2+20x75=0

b.

x220x+75=0

c.

x220x75=0

d.

x2+20x+75=0

Question number: 15

» Polynomials

MCQ▾

Question

The difference of roots of the quadratic equation y2+5y14=0 is ________

Choices

Choice (4) Response
a.

9

b.

-9

c.

10

d.

-10

Question number: 16

» Polynomials

MCQ▾

Question

Degree of polynomial 5x5+62x22 is ________

Choices

Choice (4) Response
a.

3

b.

1

c.

4

d.

6

Question number: 17

» Polynomials

MCQ▾

Question

When 3x5+5x44x3+7x+3 is divided by x+2 , the quotient and remainder is ________

Choices

Choice (4) Response
a.

3x4x32x24x1 , -4

b.

3x4x32x24x1, −5

c.

3x4x33x2+4x2 , 4

d.

3x4x32x2+4x1, 5

Question number: 18

» Polynomials

MCQ▾

Question

If one zero of the polynomial (p2+16)x2+18x+8p is a reciprocal of the other, then p is equal to ________

Choices

Choice (4) Response
a.

7

b.

4

c.

8

d.

6

Question number: 19

» Polynomials

MCQ▾

Question

If αandβ are the zeroes of the quadratic polynomial f(x)=x25x+k such that αβ=1 , then the value of k is ________

Choices

Choice (4) Response
a.

6

b.

-5

c.

5

d.

-6

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