Use the polynomial remainder theorem to evaluate the polynomial for the given value. f(x)=3x^3−2x^2−3x+18 what is the value of f(1) ?

f(1) = 16

to evaluate f(1) substitute x = 1 into f(x)

f(1) = 3 - 2 - 3 + 18 = 16

When 3x³ - 2x² - 3x + 18 is divided by (x - 1 ) the remainder is 16

16

Step-by-step explanation:

The remainder theorem says that if a polynomial p (x) is divided by ( x - a ), then the remainder is p (a). Using the remainder theorem, set up synthetic division to find f (1). Use 1, followed by the coefficients of f (x) in the top row.

The synthetic division table shows that the remainder is 16, so f (1) = 16.

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step-by-step explanation: