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f(x)=3x(x^2+4x-5) evaluate f(-2)​

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Answer:

f(-2) = 54

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

f(x) = 3x(x² + 4x - 5)

f(-2) is x = -2

Step 2: Evaluate

  1. Substitute in x  [Function]:                                                                             f(-2) = 3(-2)[(-2)² + 4(-2) - 5]
  2. [Brackets] Evaluate exponents:                                                                     f(-2) = 3(-2)[4 + 4(-2) - 5]
  3. [Brackets] Multiply:                                                                                         f(-2) = 3(-2)[4 - 8 - 5]
  4. [Brackets] Subtract:                                                                                        f(-2) = 3(-2)[-4 - 5]
  5. [Brackets] Subtract:                                                                                        f(-2) = 3(-2)(-9)
  6. Multiply:                                                                                                           f(-2) = -6(-9)
  7. Multiply:                                                                                                           f(-2) = 54
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