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Vlada [557]
3 years ago
11

Determine, if possible, if (x – 8) is a factor of (x3 – 3x2 – 31x – 72). A. Only if x = 2 B. Yes C. No D. Not enough information

to determine
Mathematics
2 answers:
vovikov84 [41]3 years ago
8 0
The polynomial remainder theorem says when we divide polynomial f(x) by x-a we'll get remainder f(a).

f(x)=x^3 - 3x^2 - 31x - 72

f(8)=8^3 - 3(8^2) - 31(8) - 72

f(8)=512 - 3(64) - 31(8) - 72 = 512-192-248-72 = 0

Since <em>f(8)=0</em> that means <em>x-8</em> has a remainder zero when divided by <em>f(x).</em> In other words, it's a factor of <em>f(x)</em>.

Answer B
 
Annette [7]3 years ago
3 0
I believe the answer is C
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