Question

Factorise the expression and divide them as directed.

(m² − 14m − 32) ÷ (m + 2)

Answer 1

m² − 14m − 32 = m² + 2m − 16m − 32

= m (m + 2) − 16 (m + 2) 

= (m + 2) (m − 16)

∴ (m² − 14m − 32) ÷ (m + 2)

= ${\displaystyle \frac{(m+2)(m-16)}{m+2}}$

= m − 16