Question: Use long division to divide x 3 + x 2 2 x + 14 by x + 3. Morgan begins to use synthetic division to

  1. Use long division to dividex3 + x2 2x + 14 by x + 3.
  2. Morgan begins to use synthetic division to 4+ x3 6 x2 4x + 8 by x 2, as 2 1 1 6 4 8 divide xshown at the right. Which of the following ? ? ? ?shows the correct values to replace thequestion marks, and also gives the quotient?

2, 6, 0, 8; x 3 3 x2 + 4

2, 6, 0, 8; x3 + 3 x2 4

1, 3, 0, 4; x2 + 3x 4

1, 1, 6, 4; x3+ 3x 2 4

  1. Verify the Remainder Theorem if P(x) = 2 x3 x2+ 4x + 5 is divided by x +2.

Complete: When P(x) is divided by x + 2, the remainder is .

Complete: P(2) = .

Circle one: The Remainder Theorem is (verified/not verified).

  1. What is the remainder if f(x) = x4 5 x2 6x 10 is divided by x 3?

8

44

46

224

  1. Is x + 2 is a factor of P(x) = 2x 3 + 5 x2 + 5x + 6? If so, write P(x) as a product of two factors.

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