Final answer:
To find the values of f-5 and f2 for the function fx = x^2+8x^2+2x-15 using synthetic substitution, substitute -5 and 2 for x in the function. f-5 = -200 and f2 = 25.
Step-by-step explanation:
To find the values of f-5 and f2 for the function fx = x¹²+8x²+2x-15 using synthetic substitution, we substitute -5 and 2 for x in the function.
- For f-5, we substitute -5 for x: f(-5) = (-5)¹²+8(-5)²+2(-5)-15 = 25-200-10-15 = -200.
- For f2, we substitute 2 for x: f(2) = (2)¹²+8(2)²+2(2)-15 = 4+32+4-15 = 25.
Therefore, f-5 = -200 and f2 = 25.