Balls Arrows Missiles and Stones When you throw a ball or shoot an arrow fire a missile or throw a stone it goes up into the air slowing as it travels then comes down again faster and faster.

Example of quadratic expression. But quadratic inequalities and equations do include quadratic expressions. This video goes through an example of how to solve a word problem that uses quadratic expressionsequations. A quadratic expression is any expression that can be written in the form ax² bx c where a b and c are numbers and x is a variable.

Quadratic Formula Examples When To Use The Quadratic Formula Polynomials expressions with many terms can have linear square and cubic values. Everything to the left of the equals sign or greater than sign in our examples above is a quadratic expression. Sometimes a quadratic equation has factors in the quadratic expression.

Here a and b are the coefficients of x 2 and x respectively. For example 5x2-13x-6 has a factor of x-3 and 5x2. Multiplying and Dividing Fractions.

Factoring Polynomials by Grouping. Xx - 2 4 upon multiplying and moving the 4 becomes x² - 2x - 4 0 x2x 3 12 upon multiplying and moving the 12 becomes 2x² - 3x - 12 0. X3 0 or x4 0 x 34 ie there are two solutions of a quadratic.

Solving quadratic equations using a formula Consider the general quadratic equation ax2 bxc 0. Now x2 x12 x3x4 See Topic 7 Section 2 x3x4 0 ie. A quadratic equation is a polynomial whose highest power is the square of a variable x 2 y 2 etc.

We could use any letter. So ax 2 bx c 0 is a quadratic expression. So basically a quadratic equation is a polynomial whose highest degree is 2.