Total number of roots for any cubic polynomial equation is always equal to $3$ .

False

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True

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Solution

The correct option is B True

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Q. The number of distinct roots of the cubic polynomial equation

x^{3} - x^{2} = 0

Q. The number of distinct real roots of the cubic polynomial equation

x^{3} - 3 x^{2} + 3 x - 1 = 0

The value of aconstantpolynomial can never be zero. Hence, a constant polynomial has no zeroes or roots. For example,p(x) = 8 is a constant polynomial. Let us try to find the roots of this polynomial.

On replacingxwith any number, we will always get 8. Suppose we replacexwith 2. Then,p(2) will still be equal to 8. This will be the case for any value ofx.

what does this means?

Q. The cubic polynomial with leading coefficient unity all whose roots are