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Aleksandr-060686 [28]
3 years ago
15

What is the criteria​

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0

Answer:

A requirement necessary for a given statement or theorem to hold. Also called a condition.

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Find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2
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Answer:

c = 8

Step-by-step explanation:

Use synthetic division here; it's the fastest approach.

Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:

-2     4         c                1           2

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       ---------------------------------------------

         4    (c - 8)   (-2c + 17)     4c - 32

The remainder, 4c - 32, must equal zero if (x + 2) is a factor.

Then 4c - 32 = 0, and c = 8

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