SOLUTION: Use the remainder theorem to find f(–4) for the equation f(x)=2x^3–3x^2–45x –54. −4 2 −3 −45 −54 + ? ? ?
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Question 744520
:
Use the remainder theorem to find f(–4) for the equation f(x)=2x^3–3x^2–45x –54.
−4 2 −3 −45 −54
+ ? ? ?
2 ? ? ? = f(–4)
Answer by
josgarithmetic(39614)
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You only need to know how to do synthetic division (ideally, synthetic...) and understand what the Remainder Theorem means. In your example, the remainder will be f(-4).
-4_____|____2____-3_____-45_____-54
_______|_________-8_____44______4
____________________________________
_______|____2____-11____-1______-50
See the remainder is -50.
(