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### Maths MCQ Ch-2 Class 10 | Polynomial

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**Mathematics**

**Multiple Choice Questions (MCQ)**

**Class 10 | Chapter 2 | Polynomials**

**MCQ Based on the different types of Polynomials**

**MCQ Based on the Relationships between zeroes and coefficients.**

**MCQ Based on the Polynomials from the zeroes.**

**MCQ Based on the Quotient and Remainder obtained after dividing P(x) by g(x).**

**MCQ Based on the Division Algorithm.**

**MCQ Based from the CBSE Sample Questions**

**In this pdf given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. Solution Hints are also given to some difficult problems. Each MCQ contains four options from which one option is correct. On the right hand side column of the pdf Answer option is given.**

__Action Plan__**First of all students should Learn and write all basic points and Formulas related to the Polynomials.**

**Start solving the NCERT Problems with examples.**

**Solve the important assignments on the Polynomials.**

**Then start solving the following MCQ.**

# MCQ | CHAPTER 2 | POLYNOMIALS

Q1) How many points will the graph of x^{2}+ 2x + 1 will cut the x-axis?

a) 3

b) 2

c) 1

d) 0

Ans: b

b) Quadratic

c) Cubic

d) Biquadratic

Ans: c

a) Real

b) Distinct

c) Real, Distinct

d) Complex

Q4) Which of the following is a polynomial

a) x

^{2}+ 2x + 5

Ans: a

a) x

^{2}+ 5x + 10

b) x

^{- 2}+ 2x + 4

c) x

^{12}+ 10x

d) 5x + 4

a) (8, 0) and (-4, 0)

b) (3, -3) and (-5, 5)

c) (-3, 0) and (5, 0)

d) (3, 0) and (-5, 0)

Ans: d

a) 2x

^{2}- 20x + 10

b) 2x

^{2}– x + 5

c) 2x

^{2}- 20x + 5

d) x

^{2}- 20x + 5

Q8) If α and β are the zeros of x

^{2}+ 20x - 80, then the value of α + β is

a) -15

b) -5

c) -10

d) -20

Ans d

Q9) If α and β are the zeros of 3x

^{2}- 5x - 15, then the value of αβ is

a) -5

b) - 10

c) - 15

d) – 20

Ans: a

Q 10) What will be the value of other zero, if one zero of the quadratic polynomial is 5 and the sum of the zeros is 10?

a) 10

b) 5

c) -5

d) -10

Ans: b

^{2}+ (a + 5)x - (b - 4) are -5 and 9 will be

a) 47, -5

b) -5, 47

c) -9, 49

d) -4, 45

^{2}+ 20x – 80, then the value of is

b) 1/5

c) 3/ 4

d) 1/ 4

^{3}+ 10x

^{2}– x + 20, then the value of αβγ is

a) -1

b) 5

c) -10

d) – 4

Ans: d

Q14) If α, β and γ are the zeros of 2x

^{3}– 6x

^{2}+ 5x + 2, then the value of α + β + γ is

a) 0

b) 1

c) 3

d) 2

Ans c

Q15) If the two zeros of the polynomial x

^{3}– 9x

^{2}-x + 9, are 1 and 9, then the third zero is

a) 9

b) 1

c) 2

d) -1

Ans: d

Q 16) If the zeroes of the quadratic polynomial x

^{2}+ (a + 1) x + b are 2 and -3, then

(a) a = -7, b = -1

(b) a = 5, b = -1

(c) a = 2, b = -6

(d) a =0, b = -6

Ans: d

^{2}+ 2x + (3k – 1) is 1

b) 3/ 2

c) -1/ 4

d) - 3/ 2

(a) x² - 9x + 20

(b) x² + 9x + 20

(c) x² - 9x - 20

(d) x² + 9x - 20

Q19) If x

^{3}+ 1 is divided by x² + 5, then the possible degree of quotient is

(a) 0

(b) 1

(c) 2

(d) 3

Ans b

^{3}+ 11 is divided by x² – 3, then the possible degree of remainder is

(a) 0

(b) 1

(c) 2

(d) less than 2

Ans: d

^{5}+ 2x

^{4}+ x + 6 is divided by g(x) and quotient is x² + 5x + 7, then the possible degree of remainder is:

(a) less than 1

(b) less than 2

(c) less than 3

(d) less than 4

Ans: c

(a) 0

(b) 1

(c) 2

(d) 3

Q 24) What is the number(s) of zeroes that a quadratic polynomial has/have:

(a) 0

(b) 1

(c) 2

(d) 3

Q 25) What is the number(s) of zeroes that a cubic polynomial has/have:

(a) 0

(b) 1

(c) 2

(d) 3

(a) 10

(b) -8

(c) 9

(d) -10

Q27) If 1 is one of the zeroes of the polynomial x² + x + k, then the value of k is:

(a) 2

(b) -2

(c) 4

(d) – 4

Ans : b

a) - 4

b) 2

c) – 2

d) 4

Q 29) What is the degree of a zero polynomial

a) Less than 1

b) 0

c) Undefined

d) None of these

Ans: c

^{4}+ 3x² + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are:

(a) 3, 0

(b) 4, 1

(c) 3, 1

(d) 4, 0

a) 0

b) 1

c) 2

d) 3

Q 32) Degree of a constant polynomial is :

a) 0

b) 1

c) 2

d) 3

Ans: a

a) Parabola

b) Origin

c) Straight Line

d) Circle

Ans: c

a) Parabola

b) Origin

c) Straight Line

d) Circle

Ans: a

a) x

^{2}+ x - 6

b) x

^{2}+ x + 6

c) x

^{2}- x - 6

d) x

^{2}+ 2x – 6

Ans: c

^{2}+ ax + c

^{2}+ bx + c is zero then c =

a) 0

Ans: a

^{2}– kx + 3 is 2, then k =

a) -4

b) 2

c) -2

d) 4

Ans : d

Q 39) If one zero of polynomial x

^{2}+ px + 4 is 2, then find p

a) 4

b) -2

c) - 4

d) 2

Ans: c

Q 40) If one zero of 5x

^{2}– (k + 2)x + 3 is negative of the other then find k

a) 2

b) - 4

c) - 2

d) 4

Ans : c

^{2}+ (a - 4)x + 3 is reciprocal of other

a) - 3

b) 2

c) - 2

d) 3

^{2}– 4x + 5 then

a) 1

b) 4

c) - 1

d) - 4

Ans: c

Q 43) Find k , If ^{2} – 6x + k such
that = 40

a) 2

b) - 3

c) 3

d) - 2

Ans: d

Q 44) A quadratic polynomial, whose zeroes are – 3 and 4, is

a) x^{2} – x +
12

b) x^{2} - x -
12

c) 2x^{2} – x + 18

d) 2x^{2} – x – 24

^{2}- (2k + 1)x – k + 5 is equal to the product of zeroes.

a) 4/3

b) -4/3

c) 2/3

d) -2/3

## Questions from CBSE Sample Paper 2021-22

Basic Maths SP (241) & Standard Maths SP (041)

^{2}- 7x - 8 , then the other zero is

(a) -8

(b) -7

(c) 1

(d) 8

^{2 }+ 5x + r, then

(b) p = r = - 2

(c) p = 2, r = - 2

(d) p = - 2, r = 2

Q 48) The number of quadratic polynomials having zeroes - 2 and 5 is :

a) 1

b) 2

c) 3

d) More than 3

^{2}– bx + 1, then

a) a + 1 = b

b) a – b = 0

c) a – b – 1 = 0

d) a + b = 1

Q 50) The quadratic polynomial whose zeroes are 2 and 3 is :

a) x^{2} + 5x + 6

b) x^{2} + 5x – 6

c) x^{2} - 5x + 6

d) x^{2} - 5x – 6

^{2}+ ax + 2b and a + b = 4 then

a) a = 1, b = 3

b) a = 3, b = 1

c) a = -1, b = 5

d) a = 5, b = -1

b) 4

c) 3

d) 1

^{2}+ bx + c opens upward when :

a) a > 0

b) b > 0

c) c > 0

a < 0

^{2}+ kx + 1 is – 3, then the value of k is

a) 4/3

b) -4/3

c) 2/3

d) -2/3

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### Comments

It is very useful to our students , thank you so much giving useful MCQ IN MATHEMATICS.

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