resolve into factors 6a^2 +11a _10
Answers
Answer:
(2a - 5) • (3a + 2)
Step-by-step explanation:
2.1 Factoring 6a2-11a-10
The first term is, 6a2 its coefficient is 6 .
The middle term is, -11a its coefficient is -11 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 6 • -10 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
6a2 - 15a + 4a - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3a • (2a-5)
Add up the last 2 terms, pulling out common factors :
2 • (2a-5)
Step-5 : Add up the four terms of step 4 :
(3a+2) • (2a-5)
Which is the desired factorization
Answer:
Factors of this are 6a, a, 11a, a, a, a, a, a, a, a, a, a, a