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SAT Math Practice Question

If $(a x+2)(b x+7)=15 x^{2}+c x+14$ for all values of $x$, and $a+b=8$, what are the two possible values for $c$ ?

  1. A.3 and 5
  2. B.6 and 35
  3. C.10 and 21
  4. D.31 and 41

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