Final answer:
To factor the equation 3x^2 + 4x - 7, we need to find two numbers that multiply to be -21 and add up to be 4. The factored form of the equation is (3x - 1)(x + 7).
Step-by-step explanation:
To factor the equation 3x^2 + 4x - 7, we need to find two numbers that multiply to be the product of the coefficient of the x^2 term (3) and the constant term (-7), and add up to be the coefficient of the x term (4).
In this case, the numbers are 3 and -7, since 3 * -7 = -21 and 3 + (-7) = -4.
Therefore, the factored form of the equation is (3x - 1)(x + 7).