9 - 6a - 24a^2 factor

Answer 1

To factor the expression 9 - 6a - 24a^2, we can look for common factors or use factoring techniques. In this case, it appears that there are no common factors among the terms.

To factor this expression, we can rearrange the terms in descending order of powers of "a":

-24a^2 - 6a + 9

Next, we can look for common factors in the coefficients of the terms. In this case, the largest common factor among the coefficients is -3:

-3(8a^2 + 2a - 3)

Now, we can factor the quadratic term within the parentheses. We look for two numbers whose product is -24 and whose sum is -3. In this case, the numbers are -6 and 4:

-3(a + 3)(8a - 1)

Therefore, the factored form of the expression 9 - 6a - 24a^2 is -3(a + 3)(8a - 1).