Which polynomial is the product of (x+2) and (x+2)?

Question

2321 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-28T03:07:26

$x^2 + 4x + 4$

A product is the result of multiplication. So, to solve this problem we must multiply $(color(red)(x+2))$ by $(color(blue)(x+2))$ or

$(color(red)(x+2))(color(blue)(x+2))$

This is done by cross multiplying the terms in the parenthesis on the left by each term in the parenthesis on the right:

$(color(red)(x) * color(blue)(x)) + (color(red)(x) * color(blue)(2)) + (color(red)(2) * color(blue)(x)) + (color(red)(2) * color(blue)(2)) ->$

$x^2 + 2x + 2x + 4$

Now, we can combine like terms to obtain the final polynomial.

$x^2 + (2 + 2)x + 4$

$x^2 + 4x + 4$