How do you simplify #(2x + 1) (x - 5)#?

1 Answer
Mar 3, 2018

Answer:

#2x^2##-#9x#-#5

Explanation:

There is a method I learned called "FOIL"
F = multiply the first terms
O = multiply the outer terms
I = multiply the inner terms
L = multiply the last terms
and add all these up

If the polynomials were (a + b)(c + d), using "FOIL" would look like this:
"F" + "O" + "I" + "L"
ac + ad + bc + bd

Using #(2x+1)(x-5)#
#(2x)(x) + (2x)(-5) + (1)(x) + (1)(-5)#
Simplify
#2x^2-10x+x-5#
#2x^2-9x-5#