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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…
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.
Is an algebraic equation the same as a polynomial equation?
yes
Are there only 3 degree's in a polynomial equation?
No. A polynomial can have as many degrees as you like.
What is the degree of a polynomial equation is based on?
The highest power in the equation.
What is the coefficient of velocity?
By itself there is none. A coefficient is the multiplying factor in a polynomial equation.
What is the leading coefficient in a polynomial?
It is the number (coefficient) that belongs to the variable of the highest degree in a polynomial.
Addition of polynomial?
addition of coefficient
What is the definition of numerical coefficient?
the numerical factor in a term of polynomial
What is a constant coefficient?
In a ploynomial or differential equation or really any formula or equation with variables in it, the coefficients are the terms "in front of" the variable or multiplied the variables. Each variable generally has its own coefficient. If a coefficient is constant (ie just a number) then it is a constant coefficient. eg Consider the polynomial , 3x2+9yx+6 in terms of x. It has one constant coefficient (3), one variable coefficient (9y) and one constant (6).
What is the coefficient in an equation?
A coefficient is a number paired with a variable. For example, in the equation4x+2x=16, the numbers 4 and 2 would be coefficients.Coefficients are the factors (usually constants) which are multiplied by the variables in each term. For example, in a second-degree polynomial equation,y = ax2 + bx + ca is called the quadratic coefficient, b is the linear coefficient and c is the constant term.
What the constant factor of a term of polynomial?
coefficient
How can one find all rational roots of a polynomial equation?
To find all rational roots of a polynomial equation, you can use the Rational Root Theorem. This theorem states that any rational root of a polynomial equation in the form of (anxn an-1xn-1 ... a1x a0 0) must be a factor of the constant term (a0) divided by a factor of the leading coefficient (an). By testing these possible rational roots using synthetic division or polynomial long division, you can determine which ones are actual roots of the equation.
Who discovered polynomial?
In the 1880s, Poincaré created functions which give the solution to the order polynomial equation to the order of the polynomial equation
Can a gcf of a polynomial be larger than the smallest coefficient?
No.
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…
Can a decimal be a coefficient in a chemical equation?
Yes, a decimal can be a coefficient in a chemical equation. It is used to represent the stoichiometry of the reaction when the reaction requires a fractional amount of a reactant or product. It is common in balancing equations involving gases or rates of reaction.
