How do you find the product of #( x + 4) ( x ^ { 2} + 7x )#?

Question

1365 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-02T20:12:35

See a solution process below:

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)(4))(color(blue)(x^2) + color(blue)(7x))# becomes:

#(color(red)(x) xx color(blue)(x^2)) + (color(red)(x) xx color(blue)(7x)) + (color(red)(4) xx color(blue)(x^2)) + (color(red)(4) xx color(blue)(7x))#

#x^3 + 7x^2 + 4x^2 + 28x#

We can now combine like terms:

#x^3 + (7 + 4)x^2 + 28x#

#x^3 + 11x^2 + 28x#