Question

Fully factorise x² + 7x+6

Answer 1

just find the roots and substitute

a(x - "first root") (x - "second root")

Answer 2

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Factorise ;

• x² + 7x+6

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$\\ {\large{\textsf{\textbf{\underline{\underline{ Solution \: :}}}}}}$

$\\ \sf \implies \: {x}^{2} + 7x+6$

$\\ \sf \implies \: {x}^{2} + 6x + x+6$

$\\ \sf \implies \: x(x + 6) +1 (x+6)$

$\\ \sf \implies \: (x + 6) (x+1)$

$\\ \sf \implies \: x + 6= 0 \:\:\:\: and\:\:\:\: x+1=0$

$\\ \sf \implies \: x= 0 -6\:\:\:\: and\:\:\:\: x=0-1$

$\\ \sf \implies \: x= -6\:\:\:\: and\:\:\:\: x=-1$

$\\\sf\implies\;{\underline{\boxed {\bf{ \:\:x=-6\:\: }}} }\red\bigstar \;\; \;\; \;{\underline{\boxed {\bf{ \:\:x=-1\:\: }}} }\red\bigstar$

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