Forming Quadratic Equation from the Roots (Junior Cert Mathematics): Flashcards

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Forming Quadratic Equation from the Roots
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Roots of a quadratic equation

Solutions to a quadratic equation

Roots make the equation equal to what value?

Zero

Method 1 Step 1 for forming quadratic from roots

Let xx equal both roots

Method 1 Step 2 for forming quadratic from roots

Create two factors that equal zero

Method 1 Step 3 for forming quadratic from roots

Multiply the two factors together

Property used to expand factors in Method 1

Distributive property

Method 2 formula for quadratic from roots

x2(sum)x+(product)=0x^2 - (\text{sum})x + (\text{product}) = 0

Method 2 Step 1 for forming quadratic from roots

Find the sum of the roots

Method 2 Step 2 for forming quadratic from roots

Find the product of the roots

Sum of roots gives this term

Middle term

Product of roots gives this term

Constant term

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