Math, asked by brarjashan607, 9 months ago

The maximum number of zeroes a cubic polynomial can have, is
(a) 1
(b)4
(c) 2
(d) 3​

Answers

Answered by AditiHegde
15

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.

Answered by Anonymous
7

Answer:

(c) 2

Step-by-step explanation:

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