Factor each polynomial 2x^{2}+4x+1

Rena Giron

Rena Giron

Answered question

2021-12-06

Factor each polynomial
2x2+4x+1

Answer & Explanation

Wriedge

Wriedge

Beginner2021-12-07Added 12 answers

Step 1
Given: The polynomial as 2x2+4x+1,
To determine: The factorization of the given polynomial.
Step 2
Explanation:
Factorizing the given polynomial:
The given polynomial can be rewritten as
2x2+4x+1
=2(x2+2x)+1
=2(x2+2x+11)+1 [Addind and sutracting 1]
=2((x+1)21)+1 [since (a+b)2=a2+2ab+b2]
=2(x+1)21
=(2(x+1))212
=(2(x+1)1)(2(x+1)+1)
[since a2b2=(ab)(a+b)]
=(2x+21)(2x+2+1)
Answer: 2x2+4x+1=(2x+21)(2x+2+1).

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