Question

3. Which expression is equivalent

to (x + 6) (4x3 – x2 + 7)?
A. 4x4 + 25x3 + 5x2 + 13x + 42
B. 4x4 + 23x3 – 5x2 + 13x + 42
C. 4x4 + 25x3 + 6x2 + 7x + 42
D. 4x4 + 23x3 – 6x2 + 7x +4

Answer 1

D. 4x⁴ + 23x³ - 6x² + 7x + 42

Explanation:

Step 1: Write expression

(x + 6)(4x³ - x² + 7)

Step 2: Expand

4x⁴ - x³ + 7x + 24x³ - 6x² + 42

Step 3: Combine like terms

4x⁴ + 23x³ - 6x² + 7x + 42