Find two binomials whose product is x^2 - 6x + 9 and explain how you decided on those two binomials.

Thank you! :-)

1 answer

since the coefficient of the square term at the front is 1, I just have to concentrate on the last term.
What two numbers when multiplied will give me 9 and when added will give me -6.
mmmh?
it can only be -3 and -3
so
x^2 - 6x + 9
= (x-3)(x-3) or (x-3)^2