Question

Use synthetic division and the Remainder Theorem to find f(4) for the given function.

x⁴+6x³+4x²+6x-2

Answer 1

To find f(4) using synthetic division and the Remainder Theorem, divide the given function by (x-4) and find the remainder. The remainder is the value of f(4). In this case, f(4) = 680.

Step-by-step explanation:

To find f(4) using synthetic division and the Remainder Theorem, we need to divide the given function, x⁴+6x³+4x²+6x-2, by (x-4). Using synthetic division, we write down the coefficients of the function and perform the division:

4 | 1 6 4 6 -2

4 40 176 680

The remainder of this division is the value of f(4), which is 680. Therefore, f(4) = 680.