Question

The remainder when x3 – 3x2 + 2x – 1 is divided by (x – 3) is

Answer 1

Answer:

5

Step-by-step explanation:

BY REMAINDER THEOREM:

p(3)=27-27+6-1=5

Answer 2

Answer:

5

Step-by-step explanation:

Concept= Algebraic Division

Given= The dividend and divisor.

To find= The remainder.

Explanation=

We have been the question as to find the remainder of  x3 – 3x2 + 2x – 1 when divided by x-3.

We carry out this process by long division method,

x - 3 |  x³– 3x² + 2x – 1 | x² + 2

          x³ - 3x²

         -     +

          0     0    2x - 1

                        2x - 6

                       -      +

                         0    5

Therefore we see that remainder is 5 when  x3 – 3x2 + 2x – 1 is divided by x - 3.

The dividend =  x3 – 3x2 + 2x – 1

Divisor = x - 3

Quotient = x² + 2

Remainder = 5

Therefore the remainder is 5.

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