We are asked to solve question 1(a) by factoring. The equation is $x^3 + x^2 - 2x = 0$.

1. Problem Description

We are asked to solve question 1(a) by factoring. The equation is $x^3 + x^2 - 2x = 0$.

2. Solution Steps

Step 1: Factor out the common term $x$ from the equation:

$x(x^2 + x - 2) = 0$

Step 2: Factor the quadratic expression $x^2 + x - 2$. We are looking for two numbers that multiply to -2 and add up to

1. These numbers are 2 and -

1. $x^2 + x - 2 = (x+2)(x-1)$

Step 3: Substitute the factored quadratic back into the equation:

$x(x+2)(x-1) = 0$

Step 4: Set each factor to zero and solve for $x$:

$x = 0$

$x+2 = 0 => x = -2$

$x-1 = 0 => x = 1$

3. Final Answer

The solutions are $x = 0, x = -2, x = 1$.