Question

whaus is the value
cliscriment
for 12x²-50*12000​

Answer 1

favorite method is the ac method. When you have a trinomial of the form ax2+bx+c , you can start by looking for 2 numbers that multiply to the same value as ac , but add to the same value as b .

For this problem, we have 12x2−x−6 , so we need 2 numbers that multiply to the same value as 12(−6)=−72 , but the 2 numbers also need to add to the same value as −1 .

Since the product of the 2 numbers is negative, that means one of the 2 numbers will have a negative sign, and one will not. Since the negative number plus the positive number equals −1 , the number with the negative sign must be very close to the positive number. Therefore, I will seek out 2 numbers that are very close to each other that can multiply to 72.

With a bit of trial and error, I determined that 8 and 9 are 2 numbers that multiply to 72, but are also very close to each other. Therefore, the 2 numbers that multiply to −72 and add to −1 are −9 and 8 .

After determining the 2 numbers, you split up the middle term of the trinomial using those numbers.

12x2−x−6

12x2−9x+8x−6

You see this is the same thing, but we have split the middle term into 2 separate terms. Now we can factor with grouping.