Final answer:
The statement is true; to factor the quadratic equation x²+4x+3, you look for two numbers whose product is 3 and whose sum is 4, which are 1 and 3, making the factors (x+1)(x+3).
Step-by-step explanation:
To factor the quadratic equation x²+4x+3, you need to find two numbers that multiply to the constant term (3, in this case) and add up to the coefficient of the linear term (4, in this case). The given statement is true. The two numbers that satisfy these conditions are 1 and 3. Therefore, the quadratic x²+4x+3 can be factored as (x+1)(x+3).
If we were solving the quadratic equation x²+4x+3 = 0, we could use the quadratic formula -b ± √(b² - 4ac) / 2a, where 'a' is the coefficient of x² (which is 1 in this case), 'b' is the coefficient of x (which is 4), and 'c' is the constant term (which is 3). For the equation x²+4x+3 = 0, however, factoring is the simpler method.