Question

Which of the following is the result of using the remainder theorem to find F(3) for the polynomial function F(x) = x² - 9x² +5x-2 ?

a) -59
b) 11
c) -41
d) -32

Answer 1

To find F(3) for the polynomial F(x) = x² - 9x² + 5x - 2, we apply the Remainder Theorem. By plugging in 3 for x and simplifying, we get F(3) = -59. Thus, the correct answer is a) -59.

Step-by-step explanation:

The question at hand requires applying the Remainder Theorem to find the value of F(3) for the polynomial function F(x) = x² - 9x² + 5x - 2. The Remainder Theorem states that the remainder of the division of a polynomial F(x) by a linear divisor (x - c) is equal to F(c). Therefore, to find F(3), we simply substitute x with 3 in the polynomial.

Plugging in the value, we get:

F(3) = (3) - 9*(3)² + 5*(3) - 2

F(3) = 3² - 27*(3) + 15 - 2

F(3) = 9 - 81 + 15 - 2

F(3) = -72 + 15 - 2

F(3) = -57 - 2

F(3) = -59

Therefore, the correct answer is a) -59.