mathematics

mathematics

1. factorising quadratics

   • Factoring quadratics finds the roots or x-intercepts of a quadratic equation. Factoring quadratic equations in standard form, , can often be accomplished by finding two numbers that add to give b, and multiply to give ac.
   • A "quadratic" is a polynomial that looks like "ax2 + bx + c", where "a", "b", and "c" are just numbers.
   • To factorise an expression such x2 + 5x + 6, you need to look for two numbers that add up to make 5 and multiply to give 6. The factor pairs of 6 are: 1 and 6 2 and 3 2 and 3 add up to 5. So: (x +2) (x+3) = x2 + 5x + 6

2. linear simultaneous equations

   • linear simultaneous equations are two (or more) linear equations that must be true at the same time. 'linear' means there are no pesky x^2 terms