A product has five factors. Three factors are negative integers and two factors are positiv integers. What is the sign of the product? Explain your answer

Make it as simple as possible, and use 1 and −1 .

1×1×1×1×1×−1×−1×−1×−1×−1=

15×(−1)2×(−1)2×−1=

1×1×1×−1=

−1.

So, the sign will be negative.

Another way of thinking about this is to not even think about the positive integers, as they won’t affect the sign. A positive integer times a positive integer is still a positive integer; a negative integer times a positive integer is still a negative integer.

So, you have five negative integers. Think of it like two negative integers, two more negative integers, and a single negative integer. Since two negative integers form a positive integer, you now have a positive, positive, and negative integer. This forms a negative sign.

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step-by-step explanation: