Solving Quadratic Equations by Factorising (equations with an x squared) (Junior Cert Mathematics): Flashcards

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Solving Quadratic Equations by Factorising (equations with an x squared)
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Standard form of quadratic equation

ax2+bx+c=0ax^2 + bx + c = 0

Meaning of x2x^2 in quadratic equation

xx multiplied by itself (squared term)

aa, bb, cc in ax2+bx+c=0ax^2 + bx + c = 0

Coefficients and constant (positive, negative, or zero)

xx in quadratic equation

The variable we solve for

Purpose of factorising quadratics

Breaking into two simpler expressions that multiply together

Guide Number Method used for

Factorising quadratic equations

How to find Guide Number (Step 1)

Multiply coefficient of x2x^2 by constant term

Step 2 of Guide Number Method

List all factors of Guide Number

Step 3 of Guide Number Method

Find factors that add to middle coefficient

Step 4 of Guide Number Method

Rewrite middle term using the two factors found

Step 5 of Guide Number Method

Factor by grouping into binomials

How many solutions for a quadratic equation?

Two solutions for xx

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Solving Equations

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