Quadratic (Leaving Cert Mathematics): Flashcards

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Quadratic
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Quadratic factorisation

Factorising expressions of form ax2+bx+cax^2+bx+c

Highest degree in a quadratic expression

22

General form of a quadratic

ax2+bx+cax^2+bx+c

Roots of a quadratic (definition)

Two points where curve crosses the xx-axis

Number of roots in a quadratic

Two

Formula used to find quadratic roots

Quadratic formula (or −b-b-formula)

Quadratic formula

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

aa in ax2+bx+cax^2+bx+c

Coefficient of the x2x^2 term

bb in ax2+bx+cax^2+bx+c

Coefficient of the xx term

cc in ax2+bx+cax^2+bx+c

Constant term

Meaning of ±\pm in quadratic formula

Use formula twice: once with ++, once with −-

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