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Which of the following is the correct factored form of the given equation?
The factored form of a polynomial is comprised of factors in which the sum is equal to the coefficient of the second term and the product is equal to th…
Is an algebraic equation the same as a polynomial equation?
yes
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
What is the degree of a polynomial equation is based on?
The highest power in the equation.
Are there only 3 degree's in a polynomial equation?
No. A polynomial can have as many degrees as you like.
