Sachin used synthetic division to divide a polynomial, p(x), by x + 5 and found that there was no remainder. What does this tell Sachin about how p(x) and x + 5 are related?
A. x + 5 is a factor of p(x)
B. p(x) divided by x + 5 is 0
C. x + 5 is not a factor of p(x)
D. x + 5 cannot be divided evenly into p(x)

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Answer:

A

Step-by-step explanation:

The x + 5 is a factor of p(x) this represents that p(x) and x + 5 are related.

Given that,

  • Let us assume polynomial be p(x), and it is divided by x + 5.
  • There is no remainder.

Based on the above information, we can say that

x + 5 represent the factor of p(x).

Therefore we can conclude that the first option is correct.

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