Answer:
[tex]-35[/tex]
Step-by-step explanation:
Finding the remainder using the Remainder Theorem
[tex]f(-2) = 5(-2)^3 -4(-2) -3 \\ f(-2) = 5(-8) -4(-2) -3 \\ f(-2) = -40 +8 -3 \\ f(-2) = -35[/tex]
Please refer to my answer from this question to know more about the Remainder Theorem.
- brainly.com/question/24591554
You may be wondering why did I make [tex]a = -2[/tex] and not [tex]a = 2[/tex]. Notice that the Theorem states when we divide [tex]P(x)[/tex] by [tex]x -a[/tex] the remainder is [tex]P(a)[/tex]. In this case we are dividing by [tex]x \red{+} 2[/tex] in which we can rewrite it as [tex]x -(\blue{-2})[/tex].
