What is the standard form of a polynomial #(a+3)(a-1)#?

1 Answer
Apr 13, 2017

Answer:

See the entire solution process below:

Explanation:

To put this expression in the standard form multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(a) + color(red)(3))(color(blue)(a) - color(blue)(1))# becomes:

#(color(red)(a) xx color(blue)(a)) - (color(red)(a) xx color(blue)(1)) + (color(red)(3) xx color(blue)(a)) - (color(red)(3) xx color(blue)(1))#

#a^2 - 1a + 3a - 3#

We can now combine like terms:

#a^2 + (-1 + 3)a - 3#

#a^2 + 2a - 3#