Divide (m2-14m-32) by (m+2)
Step 1: Factorize (m2-14m-32)
=m2–16m+2m–32 ( splitting the middle term )
=m(m–16)+2(m–16) (taking common)
=(m–16)(m+2)
Step 2: Divide (m2-14m-32) by (m+2)
=m2–14m–32(m+2)
=(m–16)(m+2)(m+2) ( substituting with the factors )
=(m–16)
Hence, on dividing (m2-14m-32) by (m+2), we get (m–16).