SOLUTION: Can someone please explain why choice D is correct and why choices A, B, C are incorrect?
For a polynomial p(x), the value of p(3) is −2. Which of the following must be tr
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-> SOLUTION: Can someone please explain why choice D is correct and why choices A, B, C are incorrect?
For a polynomial p(x), the value of p(3) is −2. Which of the following must be tr
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Question 1073398: Can someone please explain why choice D is correct and why choices A, B, C are incorrect?
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x) ?
A) x−5 is a factor of p(x).
B) x−2 is a factor of p(x).
C) x+2 is a factor of p(x).
D) The remainder when p(x) is divided by x−3 is −2. Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website! Remainder Theorem. If x-3 were a factor of p(x), then the remainder would be 0; but it is not 0.
1. The remainder of division the polynomial by the binomial is equal to the value of the polynomial.
2. The binomial divides the polynomial if and only if the value of is the root of the polynomial , i.e. .
3. The binomial factors the polynomial if and only if the value of is the root of the polynomial , i.e. .
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