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

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Solving Quadratic Equations by Factorising (equations with an x squared)
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What is the standard form of a quadratic equation?

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

In ax2+bx+c=0ax^2 + bx + c = 0, what does xx represent?

The variable we're solving for

Why do we factorise quadratic equations?

To break them into easier pieces

When is the Guide Number Method especially helpful?

When the coefficient of x2x^2 is not 1

How do you find the Guide Number?

Multiply coefficient of x2x^2 by constant term

In Step 3, what must the correct factor pair do?

Add up to the middle number

Why do we rewrite the middle term in Step 4?

To make grouping possible

What does factoring by grouping produce?

Two binomials

In Step 6, what do you set each binomial equal to?

Zero

How many solutions should you expect for a quadratic equation?

Two

What is the first step in the Guide Number Method?

Find the Guide Number

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