[tex]-14[/tex]
Given:
[tex]x^2 -7x -4[/tex] divided by [tex]x -2[/tex].
Please refer to my Answer from this Questions to know more about the Remainder Theorem:
Let [tex]P(x) = x^2 -7x -4[/tex] so that when we divide [tex]P(x)[/tex] by [tex]x -\blue 2[/tex] the remainder will be [tex]P(\blue 2)[/tex] according to the Remainder Theorem.
Solving for [tex]P(2)[/tex]:
[tex]P(\blue 2) = (\blue 2)^2 -7(\blue 2) -4 \\ P(\blue 2) = 4 -7(\blue 2) -4 \\ P(\blue 2) = 4 -14 -4 \\ P(\blue 2) = -14[/tex]
The remainder is [tex]-14[/tex].
