Answer:
To factor completely the expression 2x^2 + 6x - 80, follow these steps:
1. Check for common factors: Look for any common factors among the coefficients of the terms. In this case, all the coefficients are even numbers, so we can factor out a common factor of 2.
Calculation: 2(x^2 + 3x - 40)
2. Factor the quadratic expression: Now, we need to factor the quadratic expression inside the parentheses, x^2 + 3x - 40. We are looking for two binomial factors that multiply together to give us the quadratic expression.
Calculation: (x + 8)(x - 5)
3. Combine the factors: The factored form of the original expression is obtained by multiplying the common factor (2) with the two binomial factors.
Calculation: 2(x + 8)(x - 5)
Therefore, the completely factored form of 2x^2 + 6x - 80 is 2(x + 8)(x - 5).
Explanation: