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Home > INT3 > Chapter 8 > Lesson 8.3.1 > Problem 8-101

8-101.
  1. Divide each of the following polynomials, P(x), by D(x) to write the quotient Q(x) and then rewrite the polynomial in the form P(x) = D(x) · Q(x) + R, where R is the remainder. Homework Help ✎

    1. P(x) = 2x4x2 + 3x + 5
      D(x) = x – 1

    2. P(x) = x5 – 2x3 + 1
      D(x) = x – 3

P(x) = (x − 1)(2x3 + 2x2 + x + 4) + 9

P(x) = x5 + 0x4 − 2x3 + 0x2 + 0x + 1