Factorising Quadratic Trinomials

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What is a quadratic trinomial?

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Identify the standard form of a quadratic trinomial.

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The coefficients are a = 2, b = 3, and c = 5.

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What is the process of factorising a quadratic trinomial?

Back

The process involves finding two numbers that multiply to ac (the product of a and c) and add to b.

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What is the significance of the discriminant in quadratic equations?

Back

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What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

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What does a zero discriminant indicate?

Back

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

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What does a negative discriminant indicate?

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A negative discriminant indicates that the quadratic equation has no real roots (the roots are complex).

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