The document introduces the quadratic equation as being in the form of ax^2 + bx + c, where a, b, and c are real number constants. It defines a as the coefficient of x^2, b as the coefficient of x, and c as the constant term. It notes that a cannot equal 0, while b or c can equal 0. The document also provides steps for solving a quadratic equation by factoring, which includes writing the equation in standard form, factoring completely, applying the zero product rule, solving the resulting linear equations, and checking the solutions. It states that most quadratic equations have two solutions corresponding to the x-intercepts of the quadratic function's graph.

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SK SABBIR ALI
NORTH WESTERN UNIVERSITY
BANGLADESH

2. Quadratic equation is in the form
Where
a, b, & c = real-number constants
a & b = numerical coefficient or
simply coefficients
a = coefficient of x2
b = coefficient of x
c = constant term or simply constant
a cannot be equal to zero while either b or
c can be zero

3. Quadratic equation

4. Quadratic equation

5. Steps for Solving Quadratic Equations by Factoring
1. Write the equation in standard form:
2. Factor completely.
3. Apply the Zero Product Rule , by setting each factor containing a variable to zero. If ab = 0,
then a = 0 or b = 0.
4. Solve the linear equations in step 3.
5. Check.
Note: Most quadratic equations have 2 solutions . The 2 solutions correspond to the x-
intercepts of the graph of a quadratic function.

6. Examples of Quadratic Equation

7. Examples of Quadratic Equation

8. Examples of Quadratic Equation