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Monic Trinomials

Mathematics · Class 10

x^2 - 5x + 6 = (x-2)(x-3). x^2 + x - 6 = (x+3)(x-2). Find two numbers that multiply to c and add to b.

multiply to c, add to b
ab=0 => a=0 or b=0
two linear factors
keep the ideas separate
Monic Trinomials: x^2 - 5x + 6 = (x-2)(x-3). x^2 + x - 6 = (x+3)(x-2). Find two numbers that multiply to c and add to
WHAT — MONIC TRINOMIALS: x^2 - 5x + 6 = (x-2)(x-3). x^2 + x - 6 = (x+3)(x-2). Find two numbers that multiply to c and add to
HOW — Use the idea: Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check
CORE UNDERSTANDING: x^2 - 5x + 6 = (x-2)(x-3). x^2 + x - 6 = (x+3)(x-2). Find two numbers that multiply to c and add to

Right triangle — Monic Trinomials — original sketch for this lesson (not copied from a textbook).