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Factorise x^2- 4x- 12 |
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Answer» (x−6)(x+2)Step-by-step explanation:We can Split the Middle Term of this expression to factorise itIn this TECHNIQUE, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:N1⋅N2=a⋅c=1⋅−12=−12ANDN1+N2=b=−4After trying out a few numbers we GET N1=−6 and N2=2−6⋅2=−12, and −6+(2)=−4x2−4x−12=x2−6x+2x−12=x(x−6)+2(x−6)(x−6) is a common FACTOR to each of the TERMS=(x−6)(x+2) |
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