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Answers
Answer:
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a) The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a). ... It should be noted that the remainder theorem only works when a function is divided by a linear polynomial, which is of the form x + number or x - .
b) The Factor Theorem states that the polynomial x - k is a factor of the polynomial f(x) if and only if f(k) = 0. Example: Let f(x) = 2x3 − 3x2 − 5x + 6.
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Step-by-step explanation:
In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It states that the remainder of the division of a polynomial f(x) by a linear polynomial {\displaystyle x-r} is equal to {\displaystyle f(r).}
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