Question

- 1. Using remainder theorem find the remainder when x* - 3x + 2x2 + x - 1 is divided by (x - 2)​

Answer 1

Given polynomial :

p(x) = x⁴-3x³+2x²+x-1

Divisor = (x-2)

=> x-2 = 0

=> x = 2

So,

p(2) = (2)⁴-3(2)³+(2)²-1 = 16-24+8-1 = 1

∴ p(x)/(x-2) gives a remainder of 1.

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