The greatest remainder with 3 is 2, the greatest remainder with 8 is 7, and the greatest remainder with 5 is 4, all because if it was one more then it would not be remaining and it would be without a remainder. Hope this helps!
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The equivalent expression for (x + 4)^5 is 
The expression is given as:

To expand the expression, we make use of Pascal triangle, where:
5:= 1 5 10 10 5 1
So, we have:

Evaluate the exponents

Evaluate the products

Hence, the equivalent expression for (x + 4)^5 is 
Read more about binomial expressions at:
brainly.com/question/13602562
Answer:
Step-by-step explanation:
a₁ = -3 = (-1)¹×3
a₂ = 6 = (-1)²×2×3
a₃ = -28 = (-1)³×2²×7
a₄ = 72 = (-1)⁴×2³×3²
a₅ = -360 = (-1)⁵×2³×3²×5
a₆ = 2160 = (-1)⁶×2⁴×3³×5
That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.