Question

p(x) = 2x3 + 6x2 + x + 5 is divided by (x+3)
$p(x) = 2x {}^{2} + 6x {}^{2} + x + 5 \: is \: divided \: by \: (x + 3)$
​

Answer 1

Answer:

Acetone, or propanone, is an organic compound with the formula (CH₃)₂CO. It is the simplest and smallest ketone. It is a colourless, highly volatile and flammable liquid with a characteristic pungent odour.

Answer 2

Here, g(x)=3x−1. To apply Remainder theorem, (3x−1) should be converted to (x−a) form.

∴3x−1=

3

1

(3x−1)=x−

3

1

∴g(x)=(x−

3

1

)

By remainder theorem, r(x)=p(a)=p(

3

1

)

p(x)=x

3

−6x

2

+2x−4⇒p(

3

1

)=(

3

1

)

3

−6(

3

1

)

2

+2(

3

1

)−4

=

27

1

−

9

6

+

3

2

−4=

27

1−18+18−108

=

27

−107

∴ the remainder p(

3

1

)=−

27

107