Question

find the reminder when x³+3x²+3x+1 is divided by 5+2x​

Answer 1

Divide p(x) by 2x+5

Then 2x+5=0

We get

2x=-5

x=-5/2

Put this value in p(x)

So, p(-5/2)=(-5/2)³+3(-5/2)²+3(-5/2)+1

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

(-125+150-60+8)/8= -27/8

Hope this helps

Answer 2

Let ....

p(x)=x³+3x²+3x+1

We need to divide p(x) by 2x+5

Put 2x+5=0

We get,

2x=-5

=-5/2

Put this value in p(x)So,

p(-5/2)=(-5/2)³+3(-5/2)²+3(-5/2)+1

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

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

= -27/8 which is the remainder

$answer = - 27 \div 8$