Introduction to Factorising Quadratic Trinomials using Common Factors

Introduction to Factorising Quadratic Trinomials using Common Factors
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I’m going to show you something like this. Now have a look it’s pretty much the same thing as what we’ve been doing but this time we’ve got c c c and extra number in front of each of these which means c is a common factor, isn’t it?

So first, if it’s a common factor we simply take c out and factorize by that number. So I’m taking c out, so now we just have x squared and here we just have a plus bx and here we just have a b. Now see how the middle part here, that’s what we’ve been doing in the very beginning just some quadratic factorization.

So don’t worry about your c leave c outside for a moment and just consider the middle part or the inside the brackets, so that one is x and x, a times b is a and b, so we just do our usual thing. We add them up, so this one is going to be x plus a, x plus b, that’s what I put here, and then we stick the c in front. So pretty much guys all we need to do is take the common factor out that’s all you need to do that’s the only difference.

So, let’s just go right into the questions because these pronumerals might get confuse you.

 

Algebra Algebraic Fractions Arc Binomial Expansion Capacity Chain Rule Common Difference Common Ratio Differentiation Double-Angle Formula Equation Exponent Exponential Function Factorise Functions Geometric Sequence Geometric Series Index Laws Inequality Integration Kinematics Length Conversion Logarithm Logarithmic Functions Mass Conversion Measurement Perfect Square Perimeter Prime Factorisation Probability Product Rule Proof Pythagoras Theorem Quadratic Quadratic Factorise Ratio Rational Functions Sequence Sketching Graphs Surds Time Transformation Trigonometric Functions Trigonometric Properties Volume




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