Question

find the remainder if x(4) + 8x + 5 is divided by x+4​

Answer 1

The remainder of dividing

f

(

x

)

by a linear factor of the form

(

x

−

a

)

is

f

(

a

)

.

In our case

x

+

1

=

x

−

(

−

1

)

, so evaluate

f

(

−

1

)

to find the remainder:

f

(

−

1

)

=

(

−

1

)

4

+

8

(

−

1

)

3

+

12

(

−

1

)

2

=

1

−

8

+

12

=

5

Answer 2

Answer:

Remainder = - 43

Quotient = 12