You are given f(x) = x4 - 3x3 - kx - 5. When f(x) is divided by x + 3 the remainder is 169.
Use a value of k from the previous question to determine the remainder when f(x) is divided by x - 3.
+23246 To find the value of k: Use the Remainder Theorem
Substituting -3 for x: (-3)4 -3(-3)3 - k(-3) - 5 = 169
81 + 81 + 3x - 5 = 169
3x + 157 = 169
3x = 12
x = 4
So, f(x) = x4 - 3x3 - 4x - 5
Can you find the remainder when f(x) is divided by x - 3?
Hint: use the Remainder Theorem ...
