Write the following equations in factored form. Remember to common factor first
(if possible).𝑦 = 𝑥 power 2 − 6𝑥 − 27
𝑦 = (𝑥 − 9)(𝑥 + 3)
To factor the equation 𝑦 = 𝑥^2 - 6𝑥 - 27, we first check if there is a common factor among the terms. In this case, there isn't a common factor other than 1.
Next, we need to find two numbers that multiply to -27 and add up to -6. These numbers are -9 and 3.
Now, we can rewrite the equation in factored form:
𝑦 = (𝑥 - 9)(𝑥 + 3)