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4 votes
Every polynomial function of degree 3 with real coefficients has exactly three real zeros.

asked
User Kinnza
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7.8k points

1 Answer

5 votes

Step-by-step explanation:

Consider the cubic polynomial,


y=x^3+x^2+x+1

This the polynomial function of degree 3 with real coefficients.

But this polynomial has only one real root that is x= -1.

Hence, it is false that every polynomial function of degree 3 with real coefficients has exactly three real zeros.

Therefore, the given statement is false.

answered
User Utsav Dusad
by
8.1k points

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