Factor theorem

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Intros
Lessons
  1. Introduction to Factor Theorem
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Examples
Lessons
  1. Using the Factor Theorem to Test For Factors of a Polynomial
    Which of the following binomials are factors of the polynomial
    P(x)=3x3+2x211x10{P}\left( x \right) = 3{x^3} + 2{x^2} - 11x - 10
    i)
    (x2)\left( {x - 2} \right)
    ii)
    (x1)\left( {x - 1} \right)
    iii)
    (x+1)\left( {x + 1} \right)
    iv)
    (3x+5)\left( {3x + 5} \right)?
    1. The polynomial P(x)=ax310x23x+bP\left( x \right) = a{x^3} - 10{x^2} - 3x + b
      i) has a factor of (x+5)(x+5)
      ii) has a remainder of -77 when P(x)P(x) is divided by (x2)(x-2) .
      Find the values of aa and bb.