Question

Find the remainder when x³+3x²+3x+1 is divided by 5+2x​

Answer 1

Answer:

put x= -5/2 in x3+3x2+3x+1

Answer 2

Given :

★ x³ + 3x² + 3x + 1 is divided by 5 + 2x .

To Find :

★ The Remainder .

Solution :

5 + 2x = 0

2x = 0 - 5

2x = -5

x = -5/2

Now :

→ x³ + 3x² + 3x + 1

→ (-5/2)³ + 3(-5/2)² + 3(-5/2) + 1

→ -5/2 × -5/2 × -5/2 + 3 × -5/2 × -5/2 + 3 × -5/2 + 1

→ -125/8 + 3(25/4 + (-25/2) + 1

→ -125/8 + 75/4 - 15/2 + 1

→ -125 + 150 - 60 + 8/8

→ 185 + 158/8

→ -27/8

Hence , The Remainder is -27/8 .