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5
Select the correct answer.
if(t + 4) is a factor of polynomial p, which statement must be true?
OA. p(4)
0
B. p(4) < 0
OC. P(-4) = 0
OD. p(-4) > 0
What’s the answer

Respuesta :

MrRoyal

Answer:

[tex]p(-4) = 0[/tex]

Step-by-step explanation:

Given

[tex]Polynomial: p[/tex]

[tex]Factor: (t + 4)[/tex]

Required

Which statement is true

First we need to equate t + 4 to 0; then solve for t

[tex]t + 4 = 0\\[/tex]

[tex]t = 0 - 4[/tex]

[tex]t = -4[/tex]

Represent the polynomial as a function of t:

[tex]p(t) = 0[/tex]

Substitute -4 for t

[tex]p(-4) = 0[/tex]

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