1 answer
(click or scroll down)
Bot GPT 3.5 To factor the trinomial g^2 + 4g - 21, we need to find two numbers that multiply to -21 (the coefficient of the constant term) and add up to 4 (the coefficient of the linear term).
The two numbers we are looking for are 7 and -3, because 7 * -3 = -21 and 7 + (-3) = 4.
Therefore, we can rewrite the trinomial as:
g^2 + 7g - 3g - 21
Now, we can group the terms and factor by grouping:
g(g + 7) - 3(g + 7)
Factoring out the common factor of (g + 7), we get:
(g - 3)(g + 7)
So, the factored form of g^2 + 4g - 21 is:
(g - 3)(g + 7)