Question

A cubic polynomial has

1 zero

atleast 3 zeros

3 zeros

2 zeros​

Answer 1

AnsWer:-

☞Atleast 3Zeros.

$\rule{200}{1}$

Explanation:-

➜By its Name 'Cubic' we can say it has 3 Zeros, but its polynomial can have atleast 3 Zeros.

➜And it's form is ax³+bx²+cx+d, Where a, b, c, and d are constants, and a is not equal to zero, or also a polynomial that can function up to 3Zeros atmost.

➜eg:- x³-4x²+x+6=0

➜eg:-x³-9x=0 [zeros→0&±3]

✪There is a Formula to form Cubic Polynomial✪

☞k[x³-(alpha+beta+gamma)x²+(alpha×beta+beta×gamma+gamma×alpha)x-(alpha×beta×gamma)]

☞k[x³-(α+β+γ)x²+(αβ+βγ+γα)x-(αβγ)] is the formula Mathematically↑

$\rule{200}{2}$

Answer 2

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QUESTION -

A cubic polynomial has -

1 . zero.

2. atleast 3 zeros.

3. 3 zeros. √√√√√√

4. 2 zeros.

SOLUTION -

Option 3 is the correct answer.

A cubic polynomial has i.e, must have 3 Zeroes but not more than that. So, option 2 is not possible.

We can state the general theorem -

A Polynomial of degree n has n Zeroes.

So,

A linear polynomial will have only one root or zero.

A Quadratic Polynomial will have two roots or 2 Zeroes.

A Cubic polynomial will have 3 roots or 3 Zeroes.

A biquadratic polynomial will have 4 roots and so on.