Question

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

Answer 1

apply remainder theroem

5+2x=0

2x=-5

x=5/2

replace x by -5/2 , we get

x3+3x2+3x+1

= (-5/2)3+3(-5/2)2+3(-5/2)+1

= -125/8+75/4-15/2+1

= (-125+150-60+8)/125

= -27/8

therefore the remainder is -27/8

Answer 2

Answer:

apply remainder theroem

5+2x=0

2x=-5

x=5/2

replace x by -5/2 , we get

x3+3x2+3x+1

= (-5/2)3+3(-5/2)2+3(-5/2)+1

= -125/8+75/4-15/2+1

= (-125+150-60+8)/125

= -27/8

therefore the remainder is -27