Answer only Activity 2 and 3.<div>Type your solutions in the box.</div>

Activity 3:
Divide the following polynomials using synthetic division. Identify the
quotient, Q(x), and the remainder, r(x). Then, match the remainder to the
decoder that follows. Show your complete solution on your answer sheet.

              C) (4x2 + x − 3) ÷ (x − 3)

              E) (x4 + x3 − 3x2 − 4x − 4) ÷ (x + 3)

              H) (3x2 + 4x − x4 − 2x3 − 4) ÷ (x + 2ሻ

              O) ( 2x5 − 2x3 + 4x2 − 3) ÷ (x + 1ሻ

              P) (−x4 + 2x5 − 2x − 3x2 + 1) ÷ (x − 2ሻ

              T) (−25 − 4x4 − 3x2 + 4x) ÷ (x − 4ሻ

              R) (2x3 + 5x2 − 4x − 5) ÷ (2x + 1ሻ




    What is the other term for the number sign #?


     1        36    −1081      1     −1081      0       1   −2   33   35




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<span>Direction: Type your solutions in the box.</span><span> </span>

<span>Direction: Type the letter of inside the box in ALL CAPS.</span>

              WHAT I HAVE LEARNED

Let us sum up what we have learned in this module.

Activity 4. Perform what is asked.
A) Fill in the blank with the correct term.

   When dividing polynomials, we express the result in the following form:
                           P(x)          r(x)
                                = Q(xሻ +
                           d(x)          d(x)

        Where P(x) is the       1          , d(x) ≠ 0 is the       2    ,

Q(x) is the           3             , and r(x) is the          4        .


B) Use the synthetic division below to find the following:


    2     2    0    0 −1 −36               a. Dividend:
               4    8 16  30               b. Divisor:
          2    4    8 15  −6               c. Remainder:
                                           d. Quotient:




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Activity 3:
Divide the following polynomials using synthetic division. Identify the
quotient, Q(x), and the remainder, r(x). Then, match the remainder to the
decoder that follows. Show your complete solution on your answer sheet.

              C) (4x2 + x − 3) ÷ (x − 3)

              E) (x4 + x3 − 3x2 − 4x − 4) ÷ (x + 3)

              H) (3x2 + 4x − x4 − 2x3 − 4) ÷ (x + 2ሻ