A student uses the division shown to divide - 3x4 15x3 - x 5 by x - 5, and concludes that x - 5 is not a factor of the polynomial. describe two errors the student made. is x - 5 a factor? explain.

Question

Corey Leach

Mathematics

5 June, 05:42

A student uses the division shown to divide - 3x4 15x3 - x 5 by x - 5, and concludes that x - 5 is not a factor of the polynomial. describe two errors the student made. is x - 5 a factor? explain.

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Anton · Answer 1

The student used k = - 5 instead of k = 5. And the student did not use a placeholder zero for the x2 term. Also, x - 5 is a factor because there is no remainder when the division is performed correctly.