2a2+a-45 factorization
Answers
Answer:
(a+5)(2a-9)
Step-by-step explanation:
2a2+a-45
2a2+10a-9a-45
2a(a+5)-9(a+5)
(a+5)(2a-9)
Step-by-step explanation:
》》Step-1 :
Multiply the coefficient of the first term by the constant 2 • -45 = -90
》》Step-2:
Find two factors of -90 whose sum equals the coefficient of the middle term, which is 1 .
-90 + 1 = -89
-45 + 2 = -43
-30 + 3 = -27
-18 + 5 = -13
-15 + 6 = -9
-10 + 9 = -1
-9 + 10 = 1
》》Step-3 :
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 10
2a2 - 9a + 10a - 45
》》Step-4 :
Add up the first 2 terms, pulling out like factors :
a • (2a-9)
Add up the last 2 terms, pulling out common factors :
5 • (2a-9)
》》Step-5 :
Add up the four terms of step 4 :
(a+5) • (2a-9)
Which is the desired factorization
》》ANS..(2a-9) • (a+5)
Hence Factorized..