1) Suppose that f is a polynomial function and c is a number. If you divide f...
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Question:
1) Suppose that f is a polynomial function and c is a number. If you divide f(x) by x − c, then what will the remainder be?
2) Suppose that f is a polynomial function with rational coefficients and c is an integer. If x − c is a factor of f(x), then what is f(c)?
3) Suppose that f is a polynomial function with real coefficients, a and b are real numbers with b ≠ 0, and the complex number a + bi is a root (aka zero) of f.
a) What other complex number must be a root of f?
b) What polynomial in x (with real coefficients) must be a factor of f(x)?
Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
Posted Date: