Factor Quadratic 8Fe43C

1. **State the problem:** Factor the quadratic expression $$4x^2 - 28x + 40$$ completely.\n\n2. **Identify the greatest common factor (GCF):** The coefficients are 4, -28, and 40. The GCF is $$4$$.\n\n3. **Factor out the GCF:**\n$$4x^2 - 28x + 40 = 4(x^2 - 7x + 10)$$\n\n4. **Factor the quadratic inside the parentheses:**\nWe look for two numbers that multiply to $$10$$ and add to $$-7$$. These numbers are $$-5$$ and $$-2$$.\n\n5. **Write the factored form:**\n$$4(x - 5)(x - 2)$$\n\n**Final answer:** $$4(x - 5)(x - 2)$$