One of the factors of 2c²-6-10 is (2c-5) Find the other factor
Answer (1)
Answer:Here's how to find the other factor: 1. Factor out a common factor: - Notice that all the terms in the expression 2c² - 6 - 10 have a common factor of 2. Factor out the 2:2(c² - 3 - 5) 2. Simplify the expression inside the parentheses: - Combine the constant terms:2(c² - 8) 3. Use the given factor to find the other: - We know that (2c - 5) is one factor. To find the other factor, we can use the fact that the product of the two factors must equal the original expression:(2c - 5) * (other factor) = 2(c² - 8)- We can see that the coefficient of the c² term in the original expression is 2, and the coefficient of the c term in the given factor (2c - 5) is 2. To get a c² term of 2c², the other factor must have a c term of c.- Now, we need to figure out the constant term in the other factor. We know that the product of the constant terms in the two factors must equal -8 (from the simplified expression 2(c² - 8)). Since the constant term in (2c - 5) is -5, the constant term in the other factor must be 8/5. Therefore, the other factor is (c + 8/5). To check our answer, we can multiply the two factors together: (2c - 5) * (c + 8/5) = 2c² + 16c/5 - 5c - 8 = 2c² + c - 8 = 2(c² - 3 - 5) = 2c² - 6 - 10
