1. Given that f(x) = x4 9x3 + 183:2 + 32x 96, determine f(2). 2. The remainder theorem states that f(2), which is the y value, equals the remainder if we divide x + 2 from f(x). Based on your answer to #1, is x + 2 a factor off(x)? How do you know? 3. Use long division to divide x + 2 from f(x) = x4 9x3 + 18262 + 32x 96. 4. Use long division to divide x 4 from the QUOTIENT in #3, the x3 11x2 5. You should be left a quadratic now as the quotient in #4. Factor the quadratic. Based on our answer in #3 5, f(x) = x4 9x3 + 183:2 + 32x 96 factors into (x + 2)(x 4)(x 4)(x 3)