Quadratics Flashcards

1
Q

Quadratic Equation in General Form

A

f(x)=ax2+bx+c

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2
Q

Quadratic Equation in Standard Form

A

f(x)=a(x-h)2+k

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3
Q

Zero-Product Property

A

AB=0

If and only if

A = 0 or B=0

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4
Q

Completing the square of

x2+bx

A

Add (b/2)2. This gives the perfect square

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5
Q

Quadratic Formula

A
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6
Q

Discrimant

A

D = b2-4ac

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7
Q

Discriminant is greater than zero (positive)

A

The equation has two distinct real solutions

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8
Q

The Discrimant equals zero

A

The equation has one real solution

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9
Q

The Discriminant is less than zero (negative).

A

The equation has no real solutions.

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