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Which of the following polynomials is prime and cannot be factored?

A x(2) +9x
B x(2) +9
C x(2) -9
D 2x(2) +7x-9

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Answer:

B. x² +9

Step-by-step explanation:

Only B cannot be factored... the rest can be factored as follows

A. x² +9x  = x (x+9)

C x² - 9  = x²-3² = (x+3)(x-3)

D 2x² +7x-9 = (2x+9)(x-1)

The polynomial i.e. prime and cannot be factored is [tex]x^2 + 9[/tex].

The following polynomials could be factored:

  • [tex]x^2 + 9x = x (x + 9)[/tex].
  • [tex]x^2 - 9 = x^2 - 3^2 = (x + 3) (x - 3)[/tex].
  • [tex]2x^2 + 7x - 9 = (2x + 9) (x - 1)[/tex].

So, [tex]x^2 + 9[/tex] can't be factored as in this there is no common thing.

Therefore we can conclude that the polynomial i.e. prime and cannot be factored is [tex]x^2 + 9[/tex].

Thus all the other options are ignored.

Learn more: brainly.com/question/14209188