Question

Find in each case,the remainder when: (i) x4-3x2+2x+1is divided by x-1 (ii) x3+3x2-12x+4 is divided by x-2 (iii) x4 +1is divided by x+1​

Answer 1

Answer:

(i)5, (ii)0, (ii)2.

Step-by-step explanation:

(i)

x-1 | x⁴-3x²+2x+1 | x³+x²-2x+4

x⁴-x³

x³-3x²+2x+1

x³ - x²

-2x²+2x+1

-2x²-2x

4x+1

4x-4

5

(ii)

x-2 | x³+3x²-12x+4 | x²+5x-2

x³-2x²

5x²-12x+4

5x²-10x

-2x+4

-2x+4

0

(iii)

x+1 | x⁴+1 | x³-x²+x-1

x⁴+x³

-x³+1

-x³-x²

x²+1

x²+x

-x+1

-x-1

2