Chapter 3: Theory of Equations - Online Test
Q1. A zero of x3 + 64 is
Answer : Option D
Explaination / Solution:
Q2. If f and g are
polynomials of degrees m and n respectively, and if h(x)
= ( f o g )(x) , then the degree of h is
Answer : Option A
Explaination / Solution:
Q3. A polynomial equation in x
of degree n always has
Answer : Option C
Explaination / Solution:
A polynomial of degree n always has n roots
Q4. If α , β , and γ are the zeros of x3
+ px2 + qx + r , then 
is
is
Answer : Option B
Explaination / Solution:
Q5. According to the rational
root theorem, which number is not possible rational zero of 4x7 + 2x4 −10x3 − 5 ?
Answer : Option B
Explaination / Solution:
Q6. The polynomial x3
− kx2 + 9x has three real zeros if and only if, k satisfies
Answer : Option D
Explaination / Solution:
Q7. The number of real numbers
in [0, 2π] satisfying sin4 x
− 2 sin2 x +1 is
Answer : Option A
Explaination / Solution:
Q8. If x3 +12x2 +10ax +1999 definitely has a
positive zero, if and only if
Answer : Option C
Explaination / Solution:
Q9. The polynomial x3
+ 2x + 3 has
Answer : Option A
Explaination / Solution:
Q10. The number of positive
zeros of the polynomial 
is
is
Answer : Option B
Explaination / Solution:
