# The expansion of the binomial product (x-a)(x-b) = x^2 - 11x + 18, determine the values for both a and b?

#### Answer:

$a =$ either 9 or 2. $b =$ the other value (either 2 or 9)

#### Explanation:

One way we can do this is to see that

$- a \times - b = 18$

and

$- a - b = - 11$

See that with the first equation, we don't have many iterations of possible solutions to run through before we get to one of the values being $9$ and the other being $2$ (we verify them using the second equation).