Question

Please and thank you and show work this question is a big chunk of my final grade

Answer 1

9

Explanation:

The trinomial square have the following form:

(a - b)²

Expanding this, the result is:

a² -2ab +b²

So, let's put x in place of a and solve it:

x² -2•x•b + b²

Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:

-2x•b = -6x divide both sides by -2x:

b = -3

So -3 complete our trinomial square, and it is:

(x -3)²

Expanding:

x² -6x +9

Answer 2

9! you half the middle x value (-6x) to get -3 and than you square that value to get 9. That leaves your final trinomial as x^2-6x+9 (x-3)(x-3)