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A polynomial function contains the factors x, x - 3 , and x + 1 Which graphs could represent the polynomial function? SELECT ALL THAT APPLY.

A Polynomial Function Contains The Factors X X 3 And X 1 Which Graphs Could Represent The Polynomial Function SELECT ALL THAT APPLY class=

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Answer:

Option B and F.

Step-by-step explanation:

Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,

[tex]x = 0[/tex]

x - 3 = 0 ➡️ x = 3

x + 1 ➡️ x = -1

Plus, the polynomial has the zeroes -1, 0 and 3.

It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.

Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).

It is observed that the graphs in options B and F follow this path.

So the correct choices are option B and F.

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