Find the zeros of the polynomial P(x) = x2 + 5x − 14 . Solution. Factor P(x) as follows. P(x) = (x − 2)(x + 7) Set P(x) = 0 and solve. P(x) = (x − 2)(x + 7) = 0. Apply the factor theorem [1 2] and
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Math is the study of numbers, space, and structure.
It tells us how the zeros of a polynomial are related to the factors. Recall that the Division Algorithm tells us f(x) = (x − k)q(x) + r. If k is a zero, then the remainder r is f(k) = 0 and f(x) = (x
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The answer to the equation is 4.
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Find all the zeroes of the following polynomials. f (x) = 2x3−13x2 +3x+18 f ( x) = 2 x 3 − 13 x 2 + 3 x + 18 Solution. P (x) = x4 −3x3 −5x2+3x +4 P ( x) = x 4 − 3 x 3 − 5 x 2 + 3 x + 4
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