Remainder Theorem for Polynomials
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Questions and Answers

What is the remainder when a polynomial p(x) is divided by x – a?

  • p(a) (correct)
  • r(x)
  • r
  • q(x)
  • What does r(x) represent in the division of p(x) by x – a?

  • The quotient
  • The remainder
  • The degree of x – a
  • A constant (correct)
  • If the degree of r(x) in the division of p(x) by x – a is 0, what is the degree of r(x)?

  • 0 (correct)
  • Greater than 1
  • Equal to the degree of p(x)
  • 1
  • What happens to r(x) when x = a in the division of p(x) by x – a?

    <p>It equals the constant 'r'</p> Signup and view all the answers

    If p(x) = (x - a)q(x) + r, and x = a, what does the equation yield?

    <p>p(a) = r</p> Signup and view all the answers

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