SEBA Class 10 Maths MCQs for Chapter 2 Polynomials
Q1. The zeroes of x2–2x –8 are:
(a) (2, -4)
(b) (4, -2)
(c) (-2, -2)
(d) (-4, -4)
Answer: (b) (4, -2)
2. 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
3. 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
4. The degree of the polynomial, x4 – x2 +2 is
(a) 2
(b) 4
(c) 1
(d) 0
Answer: (b) 4
5. If one of the zeroes of cubic polynomial is x3+ax2+bx+c is -1, then product of other two zeroes is:
(a) b-a-1
(b) b-a+1
(c) a-b+1
(d) a-b-1
Answer: (b) b-a+1
video tutorial of the above questions
6. 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)
7. A polynomial of degree n has:
(a) Only one zero
(b) At least n zeroes
(c) More than n zeroes
(d) At most n zeroes
Answer: (d) At most n zeroes
8. 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
9. 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
10. If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
(a) 10
(b) –10
(c) 5
(d) –5
Answer: (b) -10
11. A quadratic polynomial, whose zeroes are –3 and 4, is
(a) x² – x + 12
(b) x² + x + 12
(c) (x²/2) – (x/2) – 6
(d) 2x² + 2x – 24
Answer: (c) (x²/2) – (x/2) – 6
12. The zeroes of the quadratic polynomial x2 + 99x + 127 are
(a) both positive
(b) both negative
(c) one positive and one negative
(d) both equal
Answer: (b) both negative
13. The zeroes of the quadratic polynomial x2 + 7x + 10 are
(a) -4, -3
(b) 2, 5
(c) -2, -5
(d) -2, 5
Answer: (c) -2, -5
14. 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
15. 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)
By division algorithm of polynomials, p(x) = g(x) × q(x) + r(x).
16. If the graph of a polynomial intersects the x-axis at three points, then it contains ____ zeroes.
(a) Three
(b) Two
(c) Four
(d) More than three
Answer: (a) Three
video tutorial: (from Q6 to Q16)