Use the Remainder Theorem to determine if x - 2 is a factor of the polynomial: f (x) = 3x^5 - 7x^3 - 11x^2 + 2

Question

Elizabeth Wood

Mathematics

11 September, 23:08

Use the Remainder Theorem to determine if x - 2 is a factor of the polynomial: f (x) = 3x^5 - 7x^3 - 11x^2 + 2

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Answers (1)

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Kamila Pearson · Answer 1

F (2) = 3 (2) ^5 - 7 (2) ^3 - 11 (2) ^2 + 2

f (2) = (3*32) - (7*8) - (11*4) + 2

f (2) = 96 - 56 - 44 + 2

f (2) = - 2

Remainder: - 2

... so no its not a factor.