Question

Kayla was asked to rewrite the polynomial expression, x^2+6x+9 How could she rewrite the polynomial?

Answer 1

You may use the quadratic formula to look for the solutions $x_1,x_2$ of this equation, and then factor the polynomial as $(x-x_1)(x-x_2)$

In this case, though, you can see that the polynomial follows the rule

$x^2+2ax+a^2$

if $a=3$

And since we have

$x^2+2ax+a^2 = (x+a)^2$

You can rewrite the polynomial as

$x^2+6x+9=(x+3)^2$

Answer 2

Answer:

We can write as (x+3)².

Step-by-step explanation:

Given  : x²+6x+9.

To find : How could she rewrite the polynomial.

Solution : We have given that x²+6x+9.

By factoring

x²+3x+3x +9.

Taking common x from first two terms and 3 from last two terms.

x (x +3) +3(x+3)

On grouping

(x+3) (x+3)

(x+3)².

Therefore, We can write as (x+3)².