Divide (a²+2a -15) by (a-3) plz tell fast and with steps plz
Answers
Step-by-step explanation:
Factoring a2 + 2a - 15
The first term is, a2 its coefficient is 1 .
The middle term is, +2a its coefficient is 2 .
The last term, "the constant", is -15
Step-1 : Multiply the coefficient of the first term by the constant 1 • -15 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is 2 .
-15 + 1 = -14 -5 + 3 = -2 -3 + 5 = 2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 5
a2 - 3a + 5a - 15
Step-4 : Add up the first 2 terms, pulling out like factors :
a • (a-3)
Add up the last 2 terms, pulling out common factors :
5 • (a-3)
Step-5 : Add up the four terms of step 4 :
(a+5) • (a-3)
Which is the desired factorization
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