Given the polynomial: 4 x 2 − 4 x 3 + x 4 + 3 + 7 x evaluate the polynomial for x = -4

f(-4) = 39

Step-by-step explanation:

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Please write this all on one line:  y = 4x^2 - 4x^3 + x^4 + 3 + 7x, and not vertically (as you have done).  Note how I have used " ^ " to denote exponentiation.

We need to re arrange these terms in descending order by power of x:

y = 4x^2 - 4x^3 + x^4 + 3 + 7x  =>  y = x^4 - 4x^3 + 4x^2 + 7x + 3.

We are to evaluate this polynomial for x = -4.  Either replace each instance of x by -4 or use synthetic division (the remainder is the value of the polynomial at the given x-value.

At x = -4, we have y = (-4)^4 - 4(-4)^3 + 4(-4)^2 + 7(-4) + 3, or

                               y = 256 - 256 + 64 - 28 + 3, or 39 (answer)

step-by-step explanation:

a

step-by-step explanation: