my question 3a²+6a-24
plese send me the images
Answers
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "a2" was replaced by "a^2".
STEP
1
:
Equation at the end of step 1
(3a2 + 6a) - 24
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
3a2 + 6a - 24 = 3 • (a2 + 2a - 8)
Trying to factor by splitting the middle term
3.2 Factoring a2 + 2a - 8
The first term is, a2 its coefficient is 1 .
The middle term is, +2a its coefficient is 2 .
The last term, "the constant", is -8
Step-1 : Multiply the coefficient of the first term by the constant 1 • -8 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is 2 .
-8 + 1 = -7
-4 + 2 = -2
-2 + 4 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 4
a2 - 2a + 4a - 8
Step-4 : Add up the first 2 terms, pulling out like factors :
a • (a-2)
Add up the last 2 terms, pulling out common factors :
4 • (a-2)
Step-5 : Add up the four terms of step 4 :
(a+4) • (a-2)
Which is the desired factorization
Final result :
3 • (a + 4) • (a - 2)