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CELOSAKAMILLAHIN
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If P(-2) = 0, which of the following statements is true about P(X)? A. X + 2 is a factor of P(x) C. P(x) = 0 has two negative roots B. 2 is a root of P(x) = 0 D. P(0) = -2 te are 22 and 42​

Sagot :

The answer is A. x + 2 is a factor of P(x).

The factor theorem states that if [tex]x-a[/tex] is a factor of a polynomial [tex]P(x)[/tex], then [tex]P(a)=0[/tex]. Conversely, if [tex]P(a)=0[/tex], then [tex]x-a[/tex] is a factor of [tex]P(x)[/tex].

Given that [tex]P(-2)=0[/tex], this implies that [tex]x-(-2)=x+2[/tex] is a factor of [tex]P(x)[/tex].

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