Exemplar Solution Class 10 Polynomial Exercise 2.1

Q1.If one of the zeroes of the quadratic polynomial (k–1) x² + k x + 1 is –3, then the value of k is.
A) 4/3
B) -4/3
C) 2/3
D) -2/3

Q2. A quadratic polynomial, whose zeroes are –3 and 4, is is
A) x² – x + 12
B) x² + x + 12
C) x²/2 – x/2 – 6
D) 2x² +2x -24

Q3. If the zeroes of the quadratic polynomial x² + (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

Q4. The number of polynomials having zeroes as –2 and 5 is
A) 1
B) 2
C) 3
D) more than 3

Q5. Given that one of the zeroes of the cubic polynomial ax³ + bx² + cx + d is zero, the product of the other two zeroes is
A) -c/a
B) c/a
C) 0
D) -b/a

Q6. If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is –1, then the product of the other two zeroes is
A) b – a + 1
B) b – a – 1
C) a – b + 1
D) a – b –1

Q7. 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

Q8. The zeroes of the quadratic polynomial x² + kx + k, k ≠ 0,
A) cannot both be positive
B) cannot both be negative
C) are always unequal
D) are always equal

Q9. If the zeroes of the quadratic polynomial ax² + bx + c, c ≠ 0 are equal, then
A) c and a have opposite signs
B) c and b have opposite signs
C) c and a have the same sign
D) c and b have the same sign

Q10. 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 positiv
C) can have a linear term but the constant term is negative
D) can have a linear term but the constant term is positive.