The maximum number of zeroes a cubic polynomial can have, is
(a) 1
(b)4
(c) 2
(d) 3
Answers
The maximum number of zeroes a cubic polynomial can have, is 3.
Option (d) is correct.
The standard form of a cubic polynomial is given by,
ax^3 + bx^2 + cx + d = 0
where,
a cannot be equal to zero, because, a polynomial is identified by its term highest order.
if a = 0,
then that equation is not called as cubic polynomial, instead, it becomes, a quadratic equation with a term having highest power of 2.
The fundamental theorem of algebra states that "A polynomial can have a maximum number of zeros equal to its order but not more."
Therefore, the condition is a ≠ 0,
but, we can have coefficients of other terms to be zero, like
b, c or d can be equal to 0.
Therefore, the maximum number of zeroes a cubic polynomial can have is 3.
Answer:
(c) 2
Step-by-step explanation:
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