Final answer:
The equivalent expression to 2x²− 14x + 24 is 2(x² - 7x + 12), so the correct answer is option C.
Step-by-step explanation:
The expression that is equivalent to the given expression 2x²− 14x + 24 is option C) 2(x² - 7x + 12). To arrive at an equivalent expression, we look for a common factor in the terms of the given quadratic expression. Since the quadratic is already in standard form (ax² + bx + c), we can factor out a common factor of 2 from each term. This gives us 2(x² - 7x + 12), which is an equivalent expression because when you distribute the 2 back into the parentheses, you get the original expression (2x² - 14x + 24).