Write the following equations in factored form. Remember common factors first
(if possible). π¦ = 2π₯2 + 3π₯ β 2
π¦ = (2π₯ β 1)(π₯ + 2)
To write the equation π¦ = 2π₯^2 + 3π₯ - 2 in factored form, we will try to factor it.
First, let's check if there are any common factors among the coefficients. In this case, there are no common factors.
Next, we need to find two numbers that multiply to give the product of the leading coefficient (2) and the constant term (-2), and add up to give the coefficient of the π₯ term (3).
The product of 2 and -2 is -4, and the number that adds up to 3 is 4. Therefore, we can rewrite the equation as:
π¦ = (2π₯ - 1)(π₯ + 2)