anonymous
  • anonymous
can someone please explain to me how id do this? Katie simplified the expression (x + b)(x + c), where b < 0 and c < 0, to the form x2 + gx + k. What must be true about g and k ? its a multiple choice answer. A.g < 0 and k > 0 B.g < 0 and k < 0 C.g > 0 and k > 0 D.g > 0 and k < 0
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Ok, if b and c are both less than 0, are they positive or negative?
anonymous
  • anonymous
negative,
anonymous
  • anonymous
great! now, when you foil out a problem, is the middle term (g) positive or negative?

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anonymous
  • anonymous
a negative?, so i should foil out x+b and x+c
anonymous
  • anonymous
No, not exactly. So you're trying to figure out if g and k are positive or negative. So you're right, g would be negative. so that eliminates two answers, C & D, right?
anonymous
  • anonymous
now, when you multiply two negatives together, is it postitive or negative? Based on that, which is the answer?
A_clan
  • A_clan
1) when two negative terms are added, they remain negative. 2) when two negative terms are multiplied/divided, they become positive. 3) when two negative terms are subtracted, then it depends which one is larger .

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