Factor out the greatest common factor from the following polynomial. 8 x 4 − 4 x 3 + 10 x 2 A. 2 x 2 ( 4 x 2 − 2 x + 5 )B. 2 x 2 ( 4 x 2 − 2 + 5 )C. 2 ( 4 x 2 − 2 x + 5 ) D. 2 x ( 4 x 2 − 2 x + 5 )

Question

Factor out the greatest common factor from the following polynomial.   8      x    4    −  4      x    3    +  10      x    2   A.  2      x    2    (  4      x    2    −  2  x  +  5  )B.   2      x    2    (  4      x    2    −  2  +  5  )C.   2  (  4      x    2    −  2  x  +  5  ) D.   2  x  (  4      x    2    −  2  x  +  5  )

coguarsbq2q · Accepted Answer

Looking at the numerical , we can take 2 as a factor   Also note that we can factor an       x    2   out of every term.   Hence   8      x    4    −  4      x    3    +  10      x    2    =  2  (  4      x    4    −  2      x    3    +  5      x    2    )    =  2      x    2    (  4      x    2    −  2  x  +  5  ) Remember that multiplying the terms back out will always give us the original polynomial, allowing us to verify our factoring.

Factor out the greatest common factor from the following polynomial. 8x^4−4x^3+10x^2 A. 2x^2(4x^2−2x+5) B. 2x^2(4x^2−2+5) C. 2(4x^2−2x+5) D. 2x(4x^2−2x+5)

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