Unit 8 - Objective 1 - Quadratic Equations - Solution by Factoring
A polynomial equation of the second degree is called a quadratic equation.
If a, b, and c are constants and a 0, then
ax2 + bx + c = 0
is the general quadratic equation. The following are quadratic equations:
|1.||x2 = 5
x2 - 5 = 0
a = 1, b = 0, c = -5
|2.||3x2 - x + 5 = 0
a= 3, b = -1, c = 5
|3.||-x2 = x
-x2 - x = 0
a = - 1, b = - 1, c = 0
The following are not quadratic equations:
|1.||4x = 5
||(There is not a x2 term)|
|2.||x3 + x2 - x + 2 = 0||(There should not be any terms with a degree higher than 2)|
As you solve quadratic equations we need to know the zero principle: if a and b are
numbers and ab = 0 then a=0, b=0 or both a and b are 0. To find roots, make sure the equation equals 0 to use the zero principle.
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