haileyvanmeter4 haileyvanmeter4
  • 23-06-2021
  • Mathematics
contestada

What is the remainder when x^3-8x^2+20x-16 is divided by x+2?

Respuesta :

akbusiness987
akbusiness987 akbusiness987
  • 23-06-2021

Answer:

(x - 4)(x - 2)²

Step-by-step explanation:

x³ - 8x² + 20x - 16

x³ - 4x² + 4x - 4x² + 16x - 16

x(x² - 4x + 4) - 4(x² - 4x + 4)

(x - 4)(x² - 4x + 4)

(x - 4)(x² - 2x - 2x + 4)

(x - 4)(x(x - 2) - 2(x - 2))

(x - 4)(x - 2)(x - 2)

(x - 4)(x - 2)²

(x - 4)(x - 2)²

Answer Link
laisasovakalia03
laisasovakalia03 laisasovakalia03
  • 23-06-2021

Answer:

-96

Step-by-step explanation:

x+2=0 take 2 to the other side which will be -2

the -2 you sub it into the quotient and calculate

Answer Link

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