write the following equations in factored form. Remember to common factor first

(if possible).
𝑦 = 2π‘₯power2 + 3π‘₯ βˆ’ 2

𝑦 = (2π‘₯ βˆ’ 1)(π‘₯ + 2)

To factor the equation 𝑦 = 2π‘₯^2 + 3π‘₯ - 2, we need to find the common factors, if possible.

The coefficients of the quadratic terms are 2π‘₯^2, 3π‘₯, and the constant term is -2.

Let's check if there are any common factors among the coefficients:

2, 3, and -2 do not have any common factors.

Since there are no common factors among the coefficients, we cannot factor the equation further using common factoring.

Therefore, the equation 𝑦 = 2π‘₯^2 + 3π‘₯ - 2 is already in its factored form and cannot be factored further.