(a)[3]
Complete the table by filling in the missing values.
(b)[4]
On the grid, sketch the graph of $y = x^3 + x^2 - 5x$ for $-3 \le x \le 3$.
(c)[2]
Use your graph to solve $x^3 + x^2 - 5x = 0$.
(d)[3]
By drawing an appropriate tangent, estimate the gradient of the curve at $x = 2$.
(e)[1]
Write down the greatest integer value of $k$ for which the equation $x^3 + x^2 - 5x = k$ has three solutions for $-3 \le x \le 3$.