Forming Quadratic Equations (Leaving Cert Mathematics): Flashcards
📚Flashcards
Practise the cards
12 cards from this deck
ShowHide
Practise the cards
12 cards from this deck
Process of forming quadratic equations
Process of forming quadratic equations
Reverse of solving - start with roots, create equation
Equation when roots are and
Equation when roots are and
Sign change when roots become factors
Sign change when roots become factors
Change the sign of each root
Factor for fractional root x = rac{a}{b}
Factor for fractional root x = rac{a}{b}
Factor for root x = rac{1}{2}
Factor for root x = rac{1}{2}
Factor for root x = - rac{1}{3}
Factor for root x = - rac{1}{3}
How to eliminate fractions from fractional roots
How to eliminate fractions from fractional roots
Multiply both sides by the denominator
Method for expanding factors
Method for expanding factors
FOIL or grid method
Standard form of quadratic equation
Standard form of quadratic equation
How to verify formed equation is correct
How to verify formed equation is correct
Substitute each root - should equal zero
First step when forming from whole number roots
First step when forming from whole number roots
Identify the roots given in the question
Key thing to check when forming factors
Key thing to check when forming factors
Always check your signs