Find the remainder when x2 + 6x – 17 is divided by x – 1.
Hint
P(1) = (1)2 + 6(1) – 17
Answer
The remainder is -10.
Find the remainder when 4x2 – x + 3 is divided by x + 2.
P(-2) = 4(-2)2 – (-2) + 3
The remainder is 21.
Find the remainder when 2x3 – x2 – x – 1 is divided by x – 1.
P(1) = 2(1)3 – (1)2 – (1) – 1
The remainder is -1.
Find the remainder when x4 – x3 – x2 – x – 1 is divided by x – 3.
P(3) = (3)4 – (3)3 – (3)2 – (3) – 1
The remainder is 41.
Find the remainder when x4 + x3 – 3x2 – 3x – 3 is divided by x – 1.
P(1) = (1)4 + (1)3 – 3(1)2 – 3(1) – 3
The remainder is -7.
Find the remainder when 2x3 – 2x2 + 4x – 4 is divided by x – 4.
P(4) = 2(4)3 – 2(4)2 + 4(4) – 4
The remainder is 108.
Find the remainder when x4 – 5x3 + x2 – 10x – 5 is divided by x + 3.
P(-3) = (-3)4 – 5(-3)3 + (-3)2 – 10(-3) – 5
The remainder is 250.
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