Question

Express x3 + 4x2 – 45x in factored form.

x(x + 9)(x – 5)
x(x + 9)(x + 5)
x(x – 9)(x – 5)
x(x – 9)(x + 5)

Answer 1

(x)(x^2 + 4x -45) = (x) (x-5)(x+9)

Answer 2

then when you set each equation you receive to zero, your factors, x = (0, 5, -9) which is where your graph crosses the x axis(aka x-intercepts) (it happens 3 times)