Factor theorem

Intros
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Lessons
  1. Introduction to Factor Theorem
Examples
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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+2x2−11x−10{P}\left( x \right) = 3{x^3} + 2{x^2} - 11x - 10
    i)
    (x−2)\left( {x - 2} \right)
    ii)
    (x−1)\left( {x - 1} \right)
    iii)
    (x+1)\left( {x + 1} \right)
    iv)
    (3x+5)\left( {3x + 5} \right)?
  2. The polynomial P(x)=ax3−10x2−3x+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 (x−2)(x-2) .
    Find the values of aa and bb.