Polynomial Essentials

Polynomials are mathematical expressions that consist of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

The degree of a polynomial is the highest power of the variable in the expression.

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

<p>The quadratic formula is: x = (-b ± √(b^2-4ac))/(2a). It is used to solve quadratic equations by substituting the values of a, b, and c from the quadratic equation into the formula and then simplifying to find the values of x.</p> Signup and view all the answers

<p>There are various methods to solve systems of linear equations, including graphing, substitution, and elimination. Graphing involves plotting the equations on a graph to find their intersection point. Substitution involves solving one equation for one variable and then substituting that value into the other equation. Elimination involves adding or subtracting the equations to eliminate one variable and then solving for the remaining variable.</p> Signup and view all the answers

<p>The fundamental theorem of algebra states that every polynomial equation of degree greater than zero has at least one complex root. In other words, every polynomial equation can be factored into linear and quadratic factors, and the number of complex roots is equal to the degree of the polynomial.</p> Signup and view all the answers