Answer:
not factorable
Step-by-step explanation:
x^2 + 10x + 24 = x
Bring all terms to the left side and combine like terms.
Subtract x from both sides.
x^2 + 9x + 24 = 0
To factor the trinomial x^2 + 9x + 24, you need to find two integers that add to 9 and multiply to 24. Let's look at factors of 24.
24 * 1 = 24; 24 + 1 = 25
12 * 2 = 24; 12 + 2 = 14
8 * 3 = 24; 8 + 3 = 11
6 * 4 = 24; 6 + 4 = 10
There is no pair of integers whose product is 24 and whose sum is 9, so this trinomial cannot be factored.
