Question

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

Answer 1

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

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