Question

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

Answer 1

Ok, if b and c are both less than 0, are they positive or negative?

Answer 2

negative,

Answer 3

great! now, when you foil out a problem, is the middle term (g) positive or negative?

Answer 4

a negative?, so i should foil out x+b and x+c

Answer 5

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?

Answer 6

now, when you multiply two negatives together, is it postitive or negative? Based on that, which is the answer?

Answer 7

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 .