Polynomials MCQs:
Hello guys, welcome to your own blog 'Pareeksha Time'. In this article, you will read CBSE Class 10 Maths MCQs of Chapter 2 of Class 10 Maths NCERT. You will read Polynomials MCQs for Term-1 Board Exams 2021-22.
Now, Board Exams are divided into two terms; Term-1 & Term-2. In Term-1 Board Exams, only MCQ type questions will be asked.
So you have to practice MCQs of all chapters of your syllabus.
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Polynomials MCQs |MCQ Questions for Class 10 Maths Chapter 2 with Answers:-
1. What is the quadratic polynomial whose sum and the product of zeroes is √2, ⅓ respectively?
(a) 3x2-3√2x+1
(b) 3x2+3√2x+1
(c) 3x2+3√2x-1
(d) None of the above
Answer: (a) 3x2-3√2x+1
2. A polynomial of degree 3 is called:
(a) A linear polynomial
(b) A quadratic polynomial
(c) A cubic polynomial
(d) A biquadratic polynomial
Answer: (c) A cubic polynomial
3. The number of polynomials having zeroes as –2 and 5 is:
(a) 1 (b) 2
(c) 3 (d) more than 3
Answer: (d) more than 3
4. If the zeroes of the quadratic polynomial ax2+bx+c, c≠0 are equal, then:
(a) c and b have opposite signs
(b) c and a have opposite signs
(c) c and b have same signs
(d) c and a have same signs
Answer: (d) c and a have same signs
5. If x4 + 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
Answer: (a) 3, 0
6. The value of p for which the polynomail x<3 sup=""> + 4x2 –px + 8 is exactly divisible by (x – 2) is:
(a) 0 (b) 3
(c) 5 (d) 16
Answer: (d) 16
7. Dividend is equal to:
(a) Divisor × Quotient + Remainder
(b) Divisior × Quotient × Remainder
(c) Divisior × Quotient – Remainder
(d) Divisor × Quotient × Remainder
Answer: (a) Divisor × Quotient + Remainder
8. If x5 + 2x4 + 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
Answer: (c) Less than 3
9. Which of the following is not the graph of quadratic polynomial?
Answer: (d)
10. If p(x) is a polynomial of degree one and p(a) = 0, then a is said to be:
(a) Zero of p(x)
(b) Value of p(x)
(c) Constant of p(x)
(d) None of the above
Answer: (a) Zero of p(x)
11. If one of the zeroes of a quadratic polynomial of the form x2 + ax + b is the negative of the other, then it
(a) has no linear term and the constant term is negative.
(b) has no linear term and the constant term is positive.
(c) can have a linear term but the constant term is negative.
(d) can have a linear term but the constant term is positive
Answer: (a) has no linear term and the constant term is negative.
12. If x101 + 1001 is divided by x+1, then the remainder is:
(a) 999
(b) 1001
(c) 1000
(d) 0
Answer: (c) 1000
13. If the discriminant of a quadratic polynomial, D > 0, then the polynomial has
(a) Two real and equal roots
(b) Two real and unequal roots
(c) Imaginary roots
(d) No roots
Answer: (b) two real and unequal roots
14. If x3 + 1 is divided by x² + 5, then the possible degree of quotient is:
(a) 0
(b) 1
(c) 2
(d) 3
Answer: (b) 1
15. If sum of the squares of zeroes of the quadratic polynomial 6x2 + x + k is `\frac{25}{36}`, the value of k is:
(a) 4
(b) – 4
(c) 2
(d) – 2
Answer: (d) – 2
16. If `\alpha\&\beta` are the zeroes of x2 - lx + m, then `\frac\alpha\beta\+\frac\beta\alpha`=
(a) 0
(b) `\frac{l^2-2m}m`
(c) 1
(d) `\frac{l^2+2m}m`
Answer: (b) `\frac{l^2-2m}m`
17. If one of the zeroes of the cubic polynomial x3 + px² + qx + r is -1, then the product of the other two zeroes is:
(a) p + q + 1
(b) p-q- 1
(c) q – p + 1
(d) q – p – 1
Answer: (c) q – p + 1
18. The degree of the polynomial (x + 1)(x2 – x – x4 +1) is:
(a) 2
(b) 3
(c) 4
(d) 5
Answer: (d) 5
19. By division algorithm of polynomials, p(x) =
(a) g(x) × q(x) + r(x)
(b) g(x) × q(x) – r(x)
(c) g(x) × q(x) × r(x)
(d) g(x) + q(x) + r(x)
Answer: (a) g(x) × q(x) + r(x)
20. If α and β are the zeros of x2 – (5 + 7k)x + 35k, such that α2 + β2 = 172 is then the value of k is:
(a) 6√3
(b) √3
(c) 3
(d) 3√3
Answer: (b) √3
21. The number of polynomials having zeroes as 4 and 7 is:
(a) 2
(b) 3
(c) 4
(d) More than 4
Answer: (d) more than 4
22. If the two zeros of the polynomial x3 – 9x2 -x + 9, are 1 and 9, then the third zero is:
(a) 9
(b) 1
(c) 2
(d) -1
Answer: (d) -1
23. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial is:
(a) Intersects x-axis
(b) Intersects y-axis
(c) Intersects y-axis or x-axis
(d) None of the above
Answer: (a) Intersects x-axis
24. If a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is:
(a) ≤ 1
(b) ≥ 1
(c) 2
(d) 4
Answer: (a) ≤ 1
25. What will be the value of (α – β)2, if α and β are the zeros of 4x2 – 27x – 40?
(a) `\frac{1369}{16}`
(b) `\frac{139}6`
(c) `\frac{1369}6`
(d) None of these
Answer: (a) `\frac{1369}{16}`
26. The zeroes of the quadratic polynomial x² + px + p, p ≠ 0 are:
(a) Both equal
(b) Both cannot be positive
(c) Both unequal
(d) Both cannot be negative
Answer: (b) Both cannot be positive
27. Zeroes of p(x) = x2-27 are:
(a) ±9√3
(b) ±3√3
(c) ±7√3
(d) None of the above
Answer: (b) ±3√3
28. The real number that should be subtracted from the polynomial f(x)=15x5 +70x4 +35x3 -135x2- 40x -11 so that it is exactly divisible by 5x4+10x3-15x2-5x is:
(a) -12
(b) -11
(c) 11
(d) 12
Answer: (b) -11
So guys here comes end. In this article, I shared 25+ Polynomials MCQs of CBSE Class 10 Maths MCQs 2021-22.
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