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Solving for x, we get two different values : x = 2 and x = -3
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Using the FOIL method of multiplying two binomials, we obtain the function
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When these expressions are expanded, they take on the General Form of quadratics:
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Perhaps the most important aspect of having the general form with the letter coefficients
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The point (x,y) of the vertex is given by (h,k) in the equation
Where h and k can be written in terms of the coefficients a,b,
and c of the General Form
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Graph the quadratic function in factored form
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We can multiply both sides by n and put all the terms on one side to get
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*If m and n are solutions to x2 + bx + c = 0
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In other words, given the general form of a quadratic equation
if a = 1,
-b = sum of the roots of the quadratic polynomial
c = product of the roots of the quadratic polynomial
which is the same as (keeping in mind that a = 1)
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Therefore, the given quadratic equation can be thought of as
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Earlier we talked about square quadratic polynomials of the forms (x + α)(x
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The above is easy to solve, by taking the square root of both sides of the equation
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is now of the same form as
and can easily be factored as
Thus we end up with
The third step is to find the square root of both sides of the equation:
to end up with
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