Last updated on Oct 23, 2026

Factorisation (Leaving Cert Mathematics): Quizzes

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Quadratic

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What is the highest degree of a quadratic expression?

$2$

What is the general form of a quadratic expression?

$ax^2+bx+c$

What are the roots of a quadratic?

Points where curve crosses $x$ -axis

What is another name for the quadratic formula?

The $-b$ -formula

What is the quadratic formula?

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

In $ax^2+bx+c$ , what does $a$ represent?

Coefficient of the $x^2$ term

In $ax^2+bx+c$ , what does $c$ represent?

The constant term

In $x^2-8x+15$ , what is the value of $b$ ?

$-8$

Why does the quadratic formula give two answers?

Because of the $\pm$ symbol

For $x^2-8x+15$ , what are the roots?

$x=3$ and $x=5$

If a root is $x=3$ , what is the corresponding factor?

$(x-3)$

What is the factorised form of $x^2-8x+15$ ?

$(x-3)(x-5)$

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Factorisation

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Algebraic Fractions

Factorisation

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The Basics

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Factorisation

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Algebraic Fractions

Factorisation

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