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How many unique roots will a third degree polynomial function have?
It can have 1, 2 or 3 unique roots.
At most how many unique roots will a fourth-degree polynomial have?
According to the rational root theorem, which of the following are possible roots of the polynomial function below?F(x) = 8x3 - 3x2 + 5x+ 15
How many real roots will a 3rd degree polynomial have?
A third degree polynomial could have one or three real roots.
At most how many unique roots will a fourth degree polynomial have?
4, the same as the degree of the polynomial.
Is it true that the degree of polynomial function determine the number of real roots?
Sort of... but not entirely. Assuming the polynomial's coefficients are real, the polynomial either has as many real roots as its degree, or an even number less. Thus, a polynomial of degree 4 can have 4, 2, or 0 real roots; while a polynomial of degree 5 has either 5, 3, or 1 real roots. So, polynomial of odd degree (with real coefficients) will always have at least one real root. For a polynomial of even degree, this is not guaranteed. (In case you are interested about the reason for the rule stated above: this is related to the fact that any complex roots in such a polynomial occur in conjugate pairs; for example: if 5 + 2i is a root, then 5 - 2i is also a root.)
At most how many unique roots will a third-degree polynomial have?
A third-degree equation has, at most, three roots. A fourth-degree polynomial has, at most, four roots. APEX 2021
How many x-intercepts does a quartic polynomial function having 4 distinct real roots have?
Each distinct real root is an x-intercept. So the answer is 4.
The polynomial 32 plus 4x plus 3 has how many roots?
1
At most, how many unique roots will a fourth-degree polynomial have?
Four.Four.Four.Four.
At most how many unique roots will a fifth-degree polynomial have?
5, Using complex numbers you will always get 5 roots.
The polynomial 4x2 plus 5x plus 4 has how many roots?
None, it involves the square root of a negative number so the roots are imaginary.
How many real roots can a fourth degree polynomial have?
Upto 4. If the coefficients are all real, then it can have only 0, 2 or 4 real roots.
