Finding the Equation (Grade 11 NSC Matric Mathematics): Flashcards

Determining a quadratic equation when given its roots

Write $x = p$ or $x = q$

Use additive inverses: $x - p = 0$ or $x - q = 0$

Write as product: $(x - p)(x - q) = 0$

Signs in brackets are opposite to the given roots

Expand the brackets to get standard form

Multiple different equations can have the same roots

Multiply every term by the same non-zero constant

Multiply through to clear/eliminate the fractions

Getting the signs wrong in the factors