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

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Forming Quadratic Equation from the Roots
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What are roots of a quadratic equation?

The solutions to the equation

What happens when you substitute a root into its quadratic equation?

The equation equals zero

In Method 1, what is the first step when forming a quadratic from roots?

Let xx equal both of the roots

If x=3x = 3 is a root, what factor equals zero?

x3=0x - 3 = 0

If x=1x = -1 is a root, what factor equals zero?

x+1=0x + 1 = 0

In Method 1, what do you do after creating the two factors?

Multiply the two factors together

What is the formula for Method 2?

x2(sum)x+(product)=0x^2 - (sum)x + (product) = 0

If the roots are 1-1 and 33, what is their sum?

22

If the roots are 1-1 and 33, what is their product?

3-3

In the formula, what does the sum of the roots give you?

The middle term

In the formula, what does the product of the roots give you?

The constant term

What is a characteristic of Method 2?

It is quick and direct

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