Answer:
The answer to your question is Amy is correct.
Step-by-step explanation:
Data
Equation 2x² + 5x - 42 = 0
-Factor
2 x 42 = 84
- Find the prime factors of 84
84 2
42 2
21 3
7 7
1
84 = 2² 3 7
-Find two numbers that added gives 5
These numbers are 12 and -7
- Express the equation using these numbers
2x² + 12x - 7x - 42
-Factor by common factor
2x(x + 6) -7(x + 6)
-Factor by grouping
(x + 6)(2x - 7)
-Find the roots
x₁ + 6 = 0 2x₂ - 7 = 0
x₁ = -6 2x₂ = 7
x₂ = 7/2
