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 11
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: 12