Question

Write the product as a trinomial.


(m – 5)(m + 2)

A.
m2 – 3m – 10

B.
m2– 3m + 10

C.
m2 + 3m – 10

D.
m2 – 10

Answer 1

im thinking C @jojo4eva ???

Answer 2

Okay, tri = three.
In this case D is no applicable since it only has two terms.

Now lets use FOIL to obtain the expanded form of \((m – 5)(m + 2)\).
FOIL:
First
Outer
Inner
Last

\[(m – 5)(m + 2) \implies m^2~\text{(First m}\times\text{m)}\]
\[(m – 5)(m + 2) \implies 2m~\text{(Outer m}\times\text{2)}\]
\[(m – 5)(m + 2) \implies -5m~\text{(Inner -5m}\times\text{m)}\]
\[(m – 5)(m + 2) \implies -10~\text{(Last -5}\times\text{2)}\]
\[m^2+2m+-5m+(-10) \implies m^2-3 m-10\]
\[m^2-3 m-10\]