Question

What is the factored form of the polynomial?

x2 − 12x + 27?

1.(x + 4)(x + 3)
2.(x − 4)(x + 3)
3.(x + 9)(x + 3)
4.(x − 9)(x − 3)

Answer 1

(x − 9)(x − 3)

Explanation:

Answer 2

(x-3) (x-9) or (x-9) (x-3)

Explanation:

1) what * what=27

and what+what=-12

factors of 27: 9,3 -9,-3 1,27 -1,27

-9+-3=-12

hence -9 and -3 are our factors

(substitute -9 and -3 in place of -12)

x^2-9x-3x+27

split into two groups:

x^2-9x

(both have a gcf of x)

x(x-9)

and

-3x+27

(both have a gcf of "-3"

-3(x-9)

take the numbers OUTSIDE the parantheses and put them in a bracket:

(x-3) (x-9)

Hope this helps!