Answer:
(a + 2) • (a - 5)
Step-by-step explanation:
Factoring a2-3a-10
The first term is, a2 its coefficient is 1 .
The middle term is, -3a its coefficient is -3 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 1 • -10 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -3 .
-10 + 1 = -9
-5 + 2 = -3
That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 2
a2 - 5a + 2a - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
a • (a-5)
Add up the last 2 terms, pulling out common factors :
2 • (a-5)
Step-5 : Add up the four terms of step 4 :
(a+2) • (a-5
Which is the desired factorization
