Question

What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4? 4 9 30 36

Answer 1

The equation, dividend, is written below,

    x³ - 7x - 6

The divisor from the given is x - 4. If we are to convert this to equation, we have x = 4. In order to determine the answer to the question above, that is the remainder for the division operation, we substitute the x's of the dividend with 4.
 
    R = (4)³ - (7)(4) - 6 = 30

The answer is the third choice, 30.