Question

x⁴-3x²+2x+1 is divided by x-1​

Answer 1

Answer:

Quotient = x³ + x² - 2x

Remainder = 1

Solution:

We need to divide x⁴ - 3x² + 2x + 1 by x - 1.

Thus,

Here we go ↓

x - 1 ) x⁴ - 3x² + 2x + 1 ( x³ + x² - 2x

x⁴ - x³

– +

x³ - 3x²

x³ - x²

– +

- 2x² + 2x + 1

- 2x² + 2x

– –

1

Hence,

Quotient = x³ + x² - 2x

Remainder = 1

Answer 2

Answer:

Verification

p(1) =(1)⁴ - 0*(1)³-3*(1)² + 2*1+1

=1-0-3+2+1

=3-3+1

=0+1 = 1