Relationship between roots and coefficients (HSC SSCE Mathematics Extension 1): Quizzes

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Relationship between Roots and Coefficients
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What is the sum of roots for a quadratic polynomial?

-b/ab/a

What is the product of roots for a quadratic?

c/ac/a

In a cubic polynomial, what's the sum of roots?

- rac{b}{a}

How do you find the product of roots in a cubic polynomial?

- rac{d}{a}

What is the sum of roots for a quartic polynomial?

- rac{b}{a}

How is the sum of products of pairs in a quartic found?

c/ac/a

What is the product of roots in a quartic?

e/ae/a

Why are polynomial root properties useful?

Solve equations faster

What is a degree 2 polynomial called?

Quadratic

In ax^2 + bx + c = 0 with roots α and β, what is α + β?

-b/a

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