1) factorize x^2+8x+7
2) find remainder when x^3+1 is divided by 2x+1
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Example 9
Find the remainder when x4 + x³ - 2x² + x + 1 is divided by x - 1.
Dividing x4 + x³ - 2x² + x + 1 by x-1.
Dividend
Divisor
Step 1:
Put
Divisor = 0
x-1=0
x = 1
Step 2:
Let
p(x) = x² + x³2x² + x + 1
Putting x = 1
p(1) (1)4+ (1)³-2(1)²+1+1
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