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

Solution:

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

Solution:

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

Solution:

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

Solution:

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

Solution:

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

Solution:

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

Solution:

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

Solution:

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

Solution:

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.

Solution:


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