Divide.
(5x² +25x +19) = (x +4)
your answer should give the quotient and the remainder.
quotient:
remainder:

For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until reaching the remainder.

It must be fulfilled that:

Looking at the attached image we have to:

Remainder: -1

Quotient:

See attached image

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.