The map shows medieval europe.

map of charlemagne's empire. the empire is shaded in purple and reaches the atlantic sea, north sea, and mediterranean sea.

charlemagne was known as the "father of europe.” how does this map to explain that title?

It shows that Charlemagne conquered a huge part of Europe

Explanation:

pretty sure I got it right on my test

answer

explanation

the given equation is

we can rewrite this as:

let

then the equation becomes:

the factors of 8 that sum up to -9 are {-1,-8}

we split the middle term with these factors to obtain,

we factor by grouping to obtain:

apply the zero product property to get:

but