Determine the correct factorization of the polynomial expression given below. 128x^{4}-54x A.

zagonek34 2021-12-14 Answered
Determine the correct factorization of the polynomial expression given below.
128x454x
A. 2x(4x3)(16x2+24x+9)
B. 2x(4x3)(16x2+12x+9)
C. 2x(4x3)(16x212x+9)
D. (4x2+9x)(32x6x)
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Expert Answer

Linda Birchfield
Answered 2021-12-15 Author has 39 answers
Step 1
Solution: Determine the factorization.
128x454x
128x454x=2x(64x327)
=2x(64x327)
=2x((4x)333)
=2x((4x)333)
a3b3=(ab)(a2+ab+b2)
Step 2
128x454x=2x(4x3)((4x)2+4x×3+32)
=2x(4x3)(16x2+12x+9)
Hence factor of (128x454x)=?
(128x454x)=2x(4x3)(16x2+12x+9)
option (B) is Correct.

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Donald Cheek
Answered 2021-12-16 Author has 41 answers
Step 1
We have to determine the correct factorization of the polynomial expression
128x454x
Step 2
=2x(64x327)
=2x((4x)3(3)3)
=2x(4x3)((4x)2+3(4x)+(3)2)
=2x(4x3)(16x2+12x+9)
Answer: -(B)

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