Answer :
To check if x=-5 solves the polynomial equation, all terms must be moved to one side and simplified. We substitute -5 into the equation and simplify. If the result is zero, x=-5 is a solution.
To determine if x=-5 is a solution to the polynomial equation 8x⁵ + 39x⁴ + 4x² = -25 + 25x + 3x³, we need to simplify and then substitute x with -5 into the equation.
First we need to move all terms to one side of the equation to set it to zero, like this:
8x⁵ + 39x⁴ + 4x² + (-25) - 25x - 3x³ = 0
Then we substitute x with -5:
8(-5)⁵ + 39(-5)⁴ + 4(-5)² - 25 - 25(-5) - 3(-5)³
If this simplification results in zero, then x=-5 is indeed a solution. Otherwise, it is not.
Let's perform the substitution and see if the left side equals zero to confirm.
