Answered

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If f(x) = 3x³ + 5x² + 5, then what is the remainder when f(x) is divided by
x - 4?

Sagot :

LammettHash

By the remainder theorem, the remainder upon dividing a polynomial [tex]p(x)[/tex] by a linear factor [tex]x - c[/tex] is exactly [tex]p(c)[/tex].

Then the remainder upon dividing [tex]f(x)[/tex] by [tex]x - 4[/tex] is

[tex]f(4) = 3\times4^3 + 5\times4^2 + 5 = \boxed{277}[/tex]

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