a² +3a +2 find the factors in the following question
Answers
Answer:
brainliest
Step-by-step explanation:
Factoring a2-3a+2
The first term is, a2 its coefficient is 1 .
The middle term is, -3a its coefficient is -3 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is -3 .
-2 + -1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -1
a2 - 2a - 1a - 2
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 :
1 • (a-2)
Step-5 : Add up the four terms of step 4 :
(a-1) • (a-2)
Which is the desired factorization
Step-by-step explanation:
a2 +3a+2
by factorisation method
a2 +2a+a+2
a(a+2)(a+2)
(a+1)(a+2)
a+1=0
a= -1
a+2=0
a= -2
-1 and-2 are the factors