Question

Factorise the expression (q² - 7q-30) and divide by (q + 3)​

Answer 1

Factorisation of (q² - 7q-30)

q² - 7q - 30

q² + (- 10 + 3 )q - 30

q² - 10q + 3q - 30

q( q - 10 ) + 3( q - 10 )

= ( q - 10 ) ( q + 3 )

Division *

$\frac{(q - 10) \: (q + 3)}{(q + 3)} \\ \\ = (q - 10)$

Quotient = (q - 10)

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