5. When x³ — x² — 3x + 3 is divided byx – 3, the quotient is x² + 2x + 3 and the remainder is 12. Which of the following statements is true: a. (x³ — x² - 3x + 3) ÷ (x− 3) = x² + 2x + 3 b. x3x23x + 3 = (x− 3)(x² + 2x+3)- 12 d. x3x²-3x+3= (x− 3)(x² + 2x+3)+12 c. (x³-x²-3x+3) ÷ (x− 3) = 12 6. What is the remainder when x² + 5x + 6 is divided by x ― 1? a. 6 b. 2 - c. 12 d. 0

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter6: Polynomials
Section6.6: Divide Polynomials
Problem 6.172TI: Find the quotient: (2x3+8x2+x8)(x+1) .
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5. When x³ — x² — 3x + 3 is divided byx – 3, the quotient is x² + 2x + 3 and the remainder is 12. Which of the following statements is
true:
a. (x³ — x² - 3x + 3) ÷ (x− 3) = x² + 2x + 3
b. x3x23x + 3 = (x− 3)(x² + 2x+3)- 12
d. x3x²-3x+3= (x− 3)(x² + 2x+3)+12
c. (x³-x²-3x+3) ÷ (x− 3) = 12
6. What is the remainder when x² + 5x + 6 is divided by x ― 1?
a. 6
b. 2
-
c. 12
d. 0
Transcribed Image Text:5. When x³ — x² — 3x + 3 is divided byx – 3, the quotient is x² + 2x + 3 and the remainder is 12. Which of the following statements is true: a. (x³ — x² - 3x + 3) ÷ (x− 3) = x² + 2x + 3 b. x3x23x + 3 = (x− 3)(x² + 2x+3)- 12 d. x3x²-3x+3= (x− 3)(x² + 2x+3)+12 c. (x³-x²-3x+3) ÷ (x− 3) = 12 6. What is the remainder when x² + 5x + 6 is divided by x ― 1? a. 6 b. 2 - c. 12 d. 0
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