zahriaruffin zahriaruffin
  • 23-09-2017
  • Mathematics
contestada

What are the quotient and remainder when 6x3 + 13x2 + x − 2 is divided by x − 1?

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jdoe0001 jdoe0001
  • 24-09-2017
notice, the divisor is x - 1, thus x - 1 = 0, thus x = 1

doing a quick synthetic division on it,

[tex]\bf \begin{array}{l|rrrrrr} 1&&6&13&1&-2\\ &&&6&19&20\\ --&&-&--&--&--\\ &&6&19&20&\boxed{18}&\impliedby remainder \end{array} \\\\\\ 6x^2+19x+20[/tex]
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