Factor each polynomial completely. If the polynomial cannot be factored,

David Troyer

David Troyer

Answered question

2021-12-11

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
8x2+6x2

Answer & Explanation

jgardner33v4

jgardner33v4

Beginner2021-12-12Added 35 answers

Step 1
We have to factorize the polynomial:
8x2+6x2
Factorizing the polynomial by middle term splitting method,
Here,
8×(2)
for middle term,
8-2=6
Step 2
So applying above rule for the given polynomial, we get
8x2+6x2=8x2+8x2x2
=8x(x+1)-2(x+1)
=(x+1)(8x-2)
=(x+1)×2(4x1)
=2(4x-1)(x+1)
Hence, factorized form of the expression is 2(4x-1)(x+1).

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