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f(x) = x^3 - 3x^2 + x - 8 Use synthetic division and the Raminder Theorem to find: f(5)...

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kristenmarieb... | Student, Grade 10 | (Level 1) Valedictorian

Posted July 24, 2013 at 12:35 AM via web

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f(x) = x^3 - 3x^2 + x - 8

Use synthetic division and the Raminder Theorem to find:

f(5) = _______ ,     f(-4) = _______

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ishpiro | Teacher | (Level 2) Associate Educator

Posted July 24, 2013 at 1:40 AM (Answer #1)

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According to the Remainder Theorem, the value of the polynomial f(x) at x = a is the remainder when this polynomial is divided by x- a. Synthetic division can be used to obtain the remainder.

See the attached file for the synthetic division of the given polynomial by x - 5 and x + 4. The first row is the coefficients of the polynomial and the last row is the coefficients of the quotient, except for the last number, which is the remainder.

f(5) = 37 and f(-4) = -124

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