In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree. A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola. You know that two points determine a line.
In algebra, a quadratic function, a quadraticpolynomial, a polynomial of degree 2, or simply aquadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree.
Solving Quadratic Equations
A quadratic equation is an equation that could be written as
ax 2 + bx + c = 0
when a 0.
There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
Factoring
To solve a quadratic equation by factoring,
Put all terms on one side of the equal sign, leaving zero on the other side.
Factor.
Set each factor equal to zero.
Solve each of these equations.
Check by inserting your answer in the original equation.
Example 1
Solve x 2 – 6 x = 16.
Following the steps,
x 2 – 6 x = 16 becomes x 2 – 6 x – 16 = 0
Factor.
( x – 8)( x + 2) = 0
Setting each factor to zero, 
Then to check, 
Both values, 8 and –2, are solutions to the original equation.
Answers & Comments
In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree. A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.
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Answer:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola. You know that two points determine a line.
In algebra, a quadratic function, a quadraticpolynomial, a polynomial of degree 2, or simply aquadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree.
Solving Quadratic Equations
A quadratic equation is an equation that could be written as
ax 2 + bx + c = 0
when a 0.
There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
Factoring
To solve a quadratic equation by factoring,
Put all terms on one side of the equal sign, leaving zero on the other side.
Factor.
Set each factor equal to zero.
Solve each of these equations.
Check by inserting your answer in the original equation.
Example 1
Solve x 2 – 6 x = 16.
Following the steps,
x 2 – 6 x = 16 becomes x 2 – 6 x – 16 = 0
Factor.
( x – 8)( x + 2) = 0
Setting each factor to zero, 
Then to check, 
Both values, 8 and –2, are solutions to the original equation.
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