What is the complete factorization of x2 − 6x + 9?

Question

asked Jun 12, 2020 83.6k views

2 Answers

Marcos Basualdo · Answer 1 · 2020-06-17T16:02:30+0000

The factors are (x-3) and (x-3)

x^(2)-6 x+9

In this problem, we need to find the factors which is on multiplying the factor we will get the equation.

$\Rightarrow x^(2)-6 x+9$

Now, we need find the sum of the coefficient of ‘x’ and product of the constant.

The coefficient of ‘x’ is written as:

$\Rightarrow x^(2)-3 x-3 x+9$

Now, we need to find the common multiply and divide the equation into two,

$\Rightarrow x(x-3)-3(x-3)$

$\Rightarrow(x-3)(x-3)$

$\therefore(x-3)^(2)$

Thus, the factor is formed which is multiplied to give the equation given in the question.