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First, when faced with a question like this you must factorise the expression. So we need to factorise x²-5x+4 into 2 linear parts. (Linear terms are terms without any powers of x). To do this,...

Expanding - or geting rid of brackets. Make sure you multiply everything by everything! Correct: p² +2p -5p -10 = p² -3p -10     Wrong: p² + 2p -5 ...forgot that the -5 al...

Ratios are used to show how things are shared. A ratio of 7:5 means that for every 7 red sweets there are 5 blue sweets.
Step 1 - 7 + 5 = 12 This means there are 12 parts to the ratio
Step 2 -...

There are 8 beads in total; 3 out of 8 are black; 5 out of 8 are white.
When the first bead is taken, there is a 3/8 chance of the bead being black, since 3 out of the 8 beads are black.
Since t...

Firstly we integrate x^2 with respect to x which is (x^3)/3 as we integrate polynomials by adding a power then dividing by that power, (x^n+1)/n+1.Then we multiply by the 5 we have from earlier which give...