factorize 2a2 +5a * 2a2 + 5a - 19 + 84
Answers
Step-by-step explanation:
:
Equation at the end of step 1
(2a2 + 2a) - 84
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2a2 + 2a - 84 = 2 • (a2 + a - 42)
Trying to factor by splitting the middle term
3.2 Factoring a2 + a - 42
The first term is, a2 its coefficient is 1 .
The middle term is, +a its coefficient is 1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is 1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1
-6 + 7 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 7
a2 - 6a + 7a - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
a • (a-6)
Add up the last 2 terms, pulling out common factors :
7 • (a-6)
Step-5 : Add up the four terms of step 4 :
(a+7) • (a-6)
Which is the desired factorization
Final result :
2 • (a + 7) • (a - 6)
Answer:
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