When factoring a trinomial of the form ax2 + bx + c where a and b are both positive and c is negative, you need to find two numbers, m and n, such that ax2 + bx + c = ax2 + mx + nx + c and _________.
A.
m and n are both positive
B.
m and n are both negative
C.
m is positive, n is negative, and |m||n|
D.
m is positive, n is negative, and |n||m|

Question

When factoring a trinomial of the form ax2 + bx + c where a and b are both positive and c is negative, you need to find two numbers, m and n, such that ax2 + bx + c = ax2 + mx + nx + c and _________.
A.
m and n are both positive
B.
m and n are both negative
C.
m is positive, n is negative, and |m|>|n|
D.
m is positive, n is negative, and  |n|>|m|

zzr0ck3r · Answer

since we need to find two numbers that multiply to get ac but add to get b, and we know that ac is negative, we know that m,n are of opposite sign, and since b is positive and m+n = b it must be true that the positive number is bigger.

zzr0ck3r · Answer

since we need to find two numbers that multiply to get $a*c$ , but add to get $ b$, and we know that $ac$ is negative and we know that $m,n$ are of opposite sign, and since $b$ is positive and $m+n = b$, it must be that the positive number is bigger.

zzr0ck3r · Answer

it must be that the (absolute value of the) positive number is bigger.*