Z^2 12z 45 =z^2 15z +3z 45 =z(z 15)+3(z 15) ∵ 45= 15 × 3 amp; 12= 15+3 amp; =(z 15)(z+3) ...

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Factorisation by Regrouping Terms

Factorise: z2...

Question

Factorise:

$z^{2} - 12 z - 45$

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Solution

$z^{2} - 12 z - 45 = z^{2} - 15 z - + 3 z - 45 = z (z - 15) + 3 (z - 15) {\begin{matrix} ∵ - 45 = - 15 \times 3 - 12 = - 15 + 3 \end{matrix}} = (z - 15) (z + 3)$

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