What would be the most efficient step to suggest to

kloseyq 2021-12-16 Answered
What would be the most efficient step to suggest to a student attempting to complete this problem?
Factor:
x2(2a+5)x+(a2+5a+6)
a)Distribute (2a+5)
b)Factor in the form (x+c)(x+d)
c)Simplify and group terms with a
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Expert Answer

Stuart Rountree
Answered 2021-12-17 Author has 29 answers
Step 1
Go through the available options to know the correct answer.
(a) Distribute (2a+5).
x2+(2a+5)x+(a2+5a+6)=x2+2ax+5x+a2+5a+6
This step is not efficient to factor the polynomial.
(b) Factorization in the form of (x+c)(x+d) is also not possible.
Step 2
(c) Simplify and group terms with a.
x2+(2a+5)x+(a2+5a+6)=x2+2ax+5x+a2+5a+6
=x2+2ax+a2+5a+5x+6
=x2+a(2x+a+5)+5x+6
This is also not efficient.
Since the function is in simplified form, so the correct option is (d), that is this is not factorable.

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