meganladyCallgadoo
meganladyCallgadoo meganladyCallgadoo
  • 25-09-2016
  • Mathematics
contestada

factor completely 4x5 − 20x4 − 36x3. 4(x5 − 5x4 − 9x3) x3(4x2 − 20x − 36) x2 − 5x − 9 4x3(x2 − 5x − 9)

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frika
frika frika
  • 05-09-2018

Consider the polynomial [tex] 4x^5 - 20x^4 - 36x^3. [/tex] It has three terms and their greatest common factor is [tex] 4x^3. [/tex]

Since

[tex] 4x^5=4x^3\cdot x^2,\\20x^4=4x^3\cdot 5x,\\36x^3=4x^3\cdot 9, [/tex]

then

[tex] 4x^5 - 20x^4 - 36x^3=4x^3(x^2-5x-9)[/tex] (you write in brackets the same sign as the corresponding term has).

Answer: correct choice is D.

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