Using Factors to Solve Quadratic Equations (Leaving Cert Mathematics): Flashcards
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Practise the cards
13 cards from this deck
Solving quadratic equation means
Solving quadratic equation means
Finding values of that make the equation true
Zero Product Property
Zero Product Property
If factors multiply to zero, one factor must be zero
Solutions of quadratic are also called
Solutions of quadratic are also called
Roots or x-intercepts
First step solving by factorisation
First step solving by factorisation
Rearrange to equal zero
Difference of squares:
Difference of squares:
Where parabola crosses x-axis
Where parabola crosses x-axis
X-intercepts or roots
Typical number of quadratic solutions
Typical number of quadratic solutions
Two
No constant term? Look for
No constant term? Look for
Common factor
Why factorisation works for quadratics
Why factorisation works for quadratics
Zero product property
Verifying solutions method
Verifying solutions method
Substitute back into original equation
Standard quadratic equation form
Standard quadratic equation form
Look for this first when factorising
Look for this first when factorising
Common factors
In context problems, check solutions are
In context problems, check solutions are
Practical (e.g., lengths can't be negative)