Question

which binomial is not a factor of the expression x^3-11x^2+16x+84

Answer 1

if u meant factor then by hit and trail -2
is the one root so u can calculate it factors by dividing with x+2

Answer 2

x + 4  is not factor of x³ - 11x² + 16x + 84

Step-by-step explanation:

which binomial is not a factor of the expression x³-11x²+16x+84

options given are

   x + 2

   x + 4

   x - 6

   x - 7

x³ - 11x² + 16x + 84

= (x + 2)(x² - 13x + 42)

= (x + 2)(x² - 6x - 7x + 42)

= (x + 2)(x(x- 6) - 7(x - 6))

= (x + 2)(x - 6)(x - 7)

x + 2  ,  x - 6   & x - 7 are factors of x³ - 11x² + 16x + 84

  hence  x + 4  is not factor of x³ - 11x² + 16x + 84

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