No.of unique roots are possible in a seventh-degree polynomial is 7
State fundamental theorem of Algebra
- A polynomial of degree n can have at most n real roots.
- The Degree of Polynomial with one variable is largest power of that variable.
- For example, 3x^2+4x+2 = 0 have two roots since the equation degree 2.
- A real number p is a zero of a polynomial f(x),
f(p) = 0.
Since seventh degree polynomial has degree 7, number of roots in a seventh-degree polynomial is 7.
Therefore, the number of unique roots are possible in a seventh-degree polynomial is 7.
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