Question 4 (Essay Worth 10 points) (07.03 MC) Given the expression: 12x^2+18x-12 Part A: What is the greatest common factor?Explain how to find it. (3 points) Part B: Factor the expression completely. Show all necessary steps. (5 points) Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)

Part A: The greatest common factor (GCF) of the expression is . To find the GCF, we need to identify the largest number that divides evenly into each term of the expression. In this case, is the largest number that divides evenly into , , and .Part B: To factor the expression completely, we need to find two numbers whose product is equal to the product of the GCF and the constant term, and whose sum is equal to the coefficient of the linear term. In this case, we need to find two numbers whose product is and whose sum is . The numbers that satisfy these conditions are and . Therefore, we can rewrite the expression as . Next, we can group the terms and factor by grouping: . Finally, we can factor out the common factor to get .Part C: To check our factoring, we need to multiply the factors and see if we get the original expression. Multiplying , we get . Simplifying this expression, we get , which is the original expression. Therefore, our factoring is correct.