Zoetopia Zoetopia
  • 14-09-2020
  • Mathematics
contestada

Is x – 3 a factor of 5x5 – 3x4 + 2x2 – 9x + 12 ?

Respuesta :

rew3q6tkxm rew3q6tkxm
  • 14-09-2020

Answer:

No

Step-by-step explanation:

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jimrgrant1 jimrgrant1
  • 14-09-2020

Answer:

see explanation

Step-by-step explanation:

If (x - 3) is a factor of the polynomial then f(3) = 0

Given

f(x) = 5[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 2x² - 9x + 12 , then

f(3) = 5[tex](3)^{5}[/tex] - 3[tex](3)^{4}[/tex] + 2(3)² - 9(3) + 12

      = 5(243) - 3(81) + 2(9) - 27 + 12

      = 1215 - 243 + 18 - 27 + 12 = 975

Since f(3) ≠ 0 then (x - 3) is not a factor of the polynomial

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