Question

the remainder when x^3+3x^2+3x+2 is divided by (x+0.5) is ..........

Answer 1

Your Answer Is 1.125

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ExplanaTion:-

Here we can use 2 methods to find out remainder:-

1) Long Division Method.

2) By Remainder Theorem.

Long division method is already done in the attachment.

By Remainder Theorem:-

So by remainder theorem we get,

=》 x + 0.5 = 0.

=》 x = -0.5

Now by putting the value of x we get,

=》 x³ + 3x² + 3x + 2.

= (-0.5)³ + 3(-0.5)² + 3(-0.5) + 2.

= -0.125 + 3(0.25) + -1.5 + 2.

= -0.125 + 0.75 - 1.5 + 2.

= -0.125 - 1.5 + 0.75 + 2.

= -1.625 + 2.75.

= 1.125.