MAT - Paper 2011 - Q1C
Flashcards
Square numbers to memorise
Quadratic inequalities and factorisation
How can you simplify
\[\frac{-15 \pm \sqrt{321}}{-6}\]
?
\[\frac{15 \pm \sqrt{321}}{6}\]
If you’re trying to find integer solutions to $f(n) < 0$ where $f(n)$ is a quadratic, what do you know about the relationship between the roots $\alpha$ and $\beta$ and the possible solutions?
\[\alpha < x < \beta\]
How can you tell if a quadratic is factorable from the coefficients $ax^2 + bx + c$?
If the discriminant is a perfect square, then you can factorise it.