P1.1.10 - Algebraic manipulation

Algebraic manipulation of polynomials.; Expand brackets, collect like terms and factorise polynomials of degree n, n <= 3.; The notation f(x) may be used.

Use algebraic manipulation to connect the rule to the data and decision in the question.

This matters because algebraic manipulation determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply algebraic manipulation to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Algebraic manipulation is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.