A polynomial can have as many 0s as its order - the power of the highest term.A polynomial can have as many 0s as its order - the power of the highest term.A polynomial can have as many 0s as its order - the power of the highest term.A polynomial can have as many 0s as its order - the power of the highest term.
No. A polynomial can have as many degrees as you like.
4
As many as you like. A polynomial in 1 variable, and of degree n, can have n+1 terms where n is any positive integer.
The terms in a polynomial are seperated by a + or - So in given polynomial there are 4 terms.... abc , e, fg and h²
It can have 1, 2 or 3 unique roots.
4, the same as the degree of the polynomial.
Four.Four.Four.Four.
A third-degree equation has, at most, three roots. A fourth-degree polynomial has, at most, four roots. APEX 2021
5, Using complex numbers you will always get 5 roots.
According to the rational root theorem, which of the following are possible roots of the polynomial function below?F(x) = 8x3 - 3x2 + 5x+ 15
A third degree polynomial could have one or three real roots.
here is the graph
1
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.)
None, it involves the square root of a negative number so the roots are imaginary.
Upto 4. If the coefficients are all real, then it can have only 0, 2 or 4 real roots.