Question

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

Answer 1

`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`