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Find p(–4) if p(x) = x ^3 – 3x^ 2 + 7x + 6.

Sagot :

Space

Answer:

p(-4) = -134

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

  • Functions
  • Function Notation

Step-by-step explanation:

Step 1: Define

p(x) = x³ - 3x² + 7x + 6

p(-4) is x = -4

Step 2: Evaluate

  1. Substitute in x [Function]:                                                                              p(-4) = (-4)³ - 3(-4)² + 7(-4) + 6
  2. Evaluate exponents:                                                                                      p(-4) = -64 - 3(16) + 7(-4) + 6
  3. Multiply:                                                                                                           p(-4) = -64 - 48 - 28 + 6
  4. Subtract:                                                                                                          p(-4) = -140 + 6
  5. Add:                                                                                                                 p(-4) = -134
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