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Question: Number of real solutions given parameter

Question:Number of real solutions given parameter

Mador 15 Maple
polynomial solve parameter
September 24 2019
1

How can one find the number of real solutions of a polynomial, when the polynomial is depending on a parameter. For instance, gven the following polynomial

x^4-2x^3-x^2+8x+8-2t

for t in the reals

How can I find the number of real solutions? I know you can use solve(..., reals), if the polynomial wasn't parametrized, but can maple take the parameter into account? 
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