Question

For the function f(x) = 2x - 5x² + 10x - 25:

a) Find f(3).
b) Find f(2).
c) Simplify the expression: 0:1, +2, +1.
d) Simplify the expression: +1, +5, 25.

Answer 1

The function f(x) = 2x - 5x² + 10x - 25 yields f(3) = -34 and f(2) = -21. The expressions 0:1, +2, +1 and +1, +5, 25 cannot be simplified without further context.

Step-by-step explanation:

To address the student's mathematics question regarding the function f(x) = 2x - 5x² + 10x - 25:

1. To find f(3), substitute x with 3 in the function:
   
   f(3) = 2(3) - 5(3)² + 10(3) - 25 = 6 - 45 + 30 - 25 = -34.
2. To find f(2), substitute x with 2 in the function:
   
   f(2) = 2(2) - 5(2)² + 10(2) - 25 = 4 - 20 + 20 - 25 = -21.
3. Simplifying the expression 0:1, +2, +1 is ambiguous and lacks context; thus, it cannot be simplified without additional information.
4. Simplifying the expression +1, +5, 25 also lacks context and cannot be properly simplified without further clarification.