College Algebra CLEP Prep Practice Exam

What is the rest when 2x3 + 4x2 + 5x - 6 is divided by x - 1?

1. –2

2. 0

3. 2

4. 10

The correct answer is: 2

When the polynomial 2x3 + 4x2 + 5x - 6 is divided by x - 1, the remainder can be found by substituting x = 1 in the polynomial. (2(1)3 + 4(1)2 + 5(1) - 6) = 2 + 4 + 5 - 6 = 5 Therefore, the remainder is 5. Option B (0) is incorrect because the remainder is not zero. Option A (-2) is incorrect because the remainder is not –2. Option D (10) is incorrect because the remainder is not 10. Thus, the correct answer is C (2). The remainder when 2x3 + 4x2 + 5x - 6 is divided by x - 1 is