Question

Find the missing factor. x2 - 11x + 18 = (x - 2)( .) Enter the correct answer. 000 DONE Clear all DOO

Answer 1

we have the second degree polynomial

`x^2-11x+18`

we must find two numbers a,b such that

`\begin{gathered} x^2-11x+18=(x+a)(x+b)\text{ and} \\ a+b=11 \\ ab=18 \end{gathered}`

We can see that, a=-2 and b=-9 fulfill the above conditions. Therefore, we have

`x^2-11x+18=(x-2)(x-9)\text{ }`