exam Maths Puzzle Numerical Ability

I have a question that states: use the even and odd powers of (x-c) Theorem to determine where the graph of the given polynomial will cross the x-axis and where the graph will intersect but not cross the x-axis. y=x(x-4)^2

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exam Other Question
1. Find the product of (x^2 - 3x + 5) with the quotient of (18x^6 - 27x^5 - 9x^3) ÷ 9x3.

thank you so much for your valuable help. I need to find the correct end behavior for the given polynomial function
p(x)=-7x3+2x2+7x-4