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
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Ok, if b and c are both less than 0, are they positive or negative?
great! now, when you foil out a problem, is the middle term (g) positive or negative?
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a negative?, so i should foil out x+b and x+c
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?
now, when you multiply two negatives together, is it postitive or negative? Based on that, which is the answer?
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 .