Polynomials (IMO- Mathematics Olympiad Class 10): Questions 38 - 44 of 80

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Question number: 38

» Polynomials

MCQ▾

Question

If the sum of the squares of zeroes of the polynomial 5x2+3x+k is 1125 , find the value of k

Choices

Choice (4) Response

a.

2

b.

3

c.

4

d.

-2

Question number: 39

» Polynomials

MCQ▾

Question

Every quadratic polynomial can have at the most ________

Choices

Choice (4) Response

a.

Three zeroes

b.

Four zeroes

c.

One zero

d.

Two zeroes

Question number: 40

» Polynomials

MCQ▾

Question

If α,β be the zeroes of the quadratic polynomial 5x215x+40 , then the value of αβ+βα =________

Choices

Choice (4) Response

a.

78

b.

87

c.

78

d.

87

Question number: 41

» Polynomials

MCQ▾

Question

If α,β,γ are the roots of the cubic 15x3+20x2+30x+40 , the value of α3+β3+γ3 is ________

Choices

Choice (4) Response

a.

26

b.

22

c.

24

d.

28

Question number: 42

» Polynomials

MCQ▾

Question

If x+3 is a factor of the polynomial 5x3+(k+2)x23kx+2 , then find the value of k

Choices

Choice (4) Response

a.

12115

b.

11512

c.

11518

d.

18115

Question number: 43

» Polynomials

MCQ▾

Question

ax3+bx2+cx+d=0 is said to be cubic polynomial if ________

Choices

Choice (4) Response

a.

c0

b.

a0

c.

b0

d.

d0

Question number: 44

» Polynomials

MCQ▾

Question

If a and b are the roots of x2px+q=0 , then a2+b2 is ________

Choices

Choice (4) Response

a.

p2+2q

b.

p2q2

c.

p2+q2

d.

p22q

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