Polynomials (IMO- Mathematics Olympiad Class 10): Questions 45 - 50 of 81

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 908 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

Question number: 45

» Polynomials

MCQ▾

Question

If one zero of the cubic polynomial p(x)=3x35x211x3 is 13 , then other two zeroes are ________

Choices

Choice (4) Response

a.

3, -1

b.

3, -1 & -1, 3

c.

-1, 3

d.

1, 3

Question number: 46

» Polynomials

MCQ▾

Question

When 24x5+46x4+114x3+158x2+128x+120 is divided by 8x3+10x2+18x+24 , the quotient and remainder is ________

Choices

Choice (4) Response

a.

3x22x+5,3

b.

3x22x5,0

c.

3x2+2x+5,0

d.

3x2+2x5,3

Question number: 47

» Polynomials

MCQ▾

Question

A cubic polynomial with the sum of its zeroes, sum of the product of its zeroes taken two at a time, and the product of its zeroes as -5, 9, 17 respectively, is ________

Choices

Choice (4) Response

a.

x35x2+9x17

b.

x3+5x29x17

c.

x3+5x2+9x17

d.

x3+5x2+9x+17

Question number: 48

» Polynomials

MCQ▾

Question

Degree of polynomial 5x2y+2x2y3 is ________

Choices

Choice (4) Response

a.

5

b.

2

c.

3

d.

4

Question number: 49

» Polynomials

MCQ▾

Question

If one of the zero of the quadratic polynomial (k1)x2+kx+1 is 4 then value of k is ________

Choices

Choice (4) Response

a.

54

b.

94

c.

34

d.

74

Question number: 50

» Polynomials

MCQ▾

Question

A cubic polynomial with the sum of its zeroes, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 2, -7, -14 respectively, is ________

Choices

Choice (4) Response

a.

x32x27x14

b.

x32x27x+14

c.

x3+2x2+7x14

d.

x3+2x27x14

f Page
Sign In