Question

Chole always brings her own shopping bags to buy fruits. A bag with 65 cucumbers in it has a mass of 7.23 kg. The same bag with 56 cucumbers in it has a mass of 6.24 kg. Find the mass of the bag when it is empty in grams.​

Answer 1

2.1 Factoring 3x2-18x-22

The first term is, 3x2 its coefficient is 3 .
The middle term is, -18x its coefficient is -18 .
The last term, "the constant", is -22

Step-1 : Multiply the coefficient of the first term by the constant 3 • -22 = -66

Step-2 : Find two factors of -66 whose sum equals the coefficient of the middle term, which is -18 .

-66 + 1 = -65
-33 + 2 = -31
-22 + 3 = -19
-11 + 6 = -5
-6 + 11 = 5
-3 + 22 = 19
-2 + 33 = 31
-1 + 66 = 65