Topic review.

Expanding. Multiply every term in one bracket by every term in the other: $\left(x+2\right)\left(x+3\right)=x^2+5x+6$.

Factorising. Find two numbers with the required product and sum. Expand your brackets to check.

Solving. First write the equation with zero on one side. If $\left(x-2\right)\left(x+3\right)=0$, then $x=2$ or $x=-3$.

Graphs. Intercepts show where a curve crosses an axis. A parabola has a line of symmetry through its turning point. Use a smooth curve when graphing a quadratic.

Applications. Define your variable, include units, and check which answers make sense in the situation.