Synthetic Division, Remainder Theorem and Factor Theorem

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• Yes, x-3 is a factor of p(x) since the remainder is 0.

• No, x-3 is not a factor of p(x) since the remainder is 0.

• 1 is a solution of p(x)

• 1 is not a solution of p(x)

• x -1 is a factor of p(x)

• x+1 is not a factor of p(x)

• x-7 is a factor of p(x).

• x+7 is a factor of p(x).

• -7 is a solution of p(x).

• 7 is a solution of p(x).

Which statement accurately describes what this work demonstrates?

• 5 is a solution of p(x) since the remainder is 0.

• 5 is a solution of p(x) since the remainder is 100.

• 5 is not a solution of p(x) since the remainder is 0.

• 5 is not a solution of p(x) since the remainder is 100.

• x-5 is a factor of p(x) since 5 was a solution.

• x-5 is not a factor of p(x) since 5 was not a solution.

• x+5 is not a factor of p(x) since 5 was not a solution.

• x+5 is a factor of p(x) since 5 was a solution.