Question

Use the given root to find the remaining root of the function. Root: x = - 3 Function: f(x) = x ^ 2 + x - 6

Answer 1

Answer:

x = 2

Step-by-step explanation:

Since we know one root is -3, we know one factor of the equation is (x+3)

From there we can use the factor we know to factor the rest of the equation:

x^2 + x - 6 = (x+3) * ?

Since know -6 is just 3 * -2 and since 3-2 is 1,

(x+3)(x-2) = x^2 + x - 6

From there,

x - 2 = 0

x = 2