Question

(m3 - 6m2 - 16m + 63) divided by (m - 7)

Answer 1

Therefore( $m^3 -6m^2-16m +63$ )÷ (m-7)  $= (m^2 +m-9)$

Step-by-step explanation:

$m^3 -6m^2-16m +63$

$=m^3 -7m^2$$+m^2 -7m$$-9m+63$

$= m^2(m-7)$$+m(m-7)$$-9(m-7)$

$= (m-7 ) (m^2 +m-9)$

Therefore( $m^3 -6m^2-16m +63$ )÷ (m-7)  $= (m^2 +m-9)$