What is the standard form of a polynomial #(x+6)(x+4)#?

1 Answer
Jul 1, 2017

Answer:

See a solution process below:

Explanation:

To put the expression in the standard form for a polynomial we need to multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(x) + color(red)(6))(color(blue)(x) + color(blue)(4))# becomes:

#(color(red)(x) xx color(blue)(x)) + (color(red)(x) xx color(blue)(4)) + (color(red)(6) xx color(blue)(x)) + (color(red)(6) xx color(blue)(4))#

#x^2 + 4x + 6x + 24#

We can now combine like terms:

#x^2 + (4 + 6)x + 24#

#x^2 + 10x + 24#