SkullZChief SkullZChief

11-08-2020
Mathematics

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If (x + 2) is a factor of x3 – 19x – p, find the value of p. Help please

Respuesta :

konrad509 konrad509

11-08-2020

If [tex]x-a[/tex] is a factor of a polynomial [tex]P(x)[/tex] then, [tex]a[/tex] is its root.

So [tex]-2[/tex] is a root of [tex]x^3-19x-p[/tex]

[tex](-2)^3-19\cdot(-2)-p=0\\-8+38-p=0\\p=30[/tex]

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