Question

Factor each polynomial x^2-9x+10 Show your work

Answer 1

Answer:

not factorable

Step-by-step explanation:

$x^{2} - 9x +10$

The easiest way to factor is to find two numbers of the "a" value (the coefficient before $x^{2}$) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:

1          -10  --> 1(-10) gives you -10

1           -1    --> 1(-1) gives you -1

adding these together -10 + (-1) = -11 which does not equal -9.

You could stop here and conclude that this is not factorable by inspection.

Another method: using the quadratic formula to find its roots.

Roots: $(\frac{9-\sqrt{41} }{2}, 0)$ and $(\frac{9+\sqrt{41}}{2}, 0)$