Final answer:
To find the center term in a quadratic trinomial, you need to factor the quadratic expression and look for the terms that add up to the coefficient of the linear term. The statement is true.
Step-by-step explanation:
The statement is True. To find the center term in a quadratic trinomial, you need to factor the quadratic expression and look for the terms that add up to the coefficient of the linear term. Let's say the quadratic expression is Ax^2 + Bx + C, where A, B, and C are constants. You need to find two numbers that multiply to AC (the product of the coefficient of the quadratic term and the constant term) and combine to give you B (the coefficient of the linear term).
For example, if we have the quadratic expression 2x^2 + 7x + 3, the product of the coefficient of the quadratic term (2) and the constant term (3) is 6. We need to find two numbers that multiply to 6 and add up to 7. The numbers are 2 and 3. Therefore, the terms 2x and 3x are the factors of AC (6) that combine to give us B (7), and the center term is 3x.