GCSE Maths: Quadratic equations

Factorising, the quadratic formula, and the discriminant.

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What is the highest power of the unknown in a quadratic equation?
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Two.
A quadratic equation has the general form ?.
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ax² + bx + c = 0
What are the solutions to a quadratic equation also called?
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Roots.
How many real solutions can a quadratic equation have?
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Two solutions, one repeated solution, or no real solutions.
If a quadratic is written as a product of two brackets equal to zero, what must be true?
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One of the brackets must equal zero.
The quadratic formula is x = ?.
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(−b ± √(b² − 4ac)) / 2a
The part of the quadratic formula b² − 4ac is called the ?.
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discriminant
If the discriminant is positive, how many real solutions does a quadratic have?
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Two real solutions.
If the discriminant is zero, how many solutions does a quadratic have?
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One repeated solution.
If the discriminant is negative, how many real solutions does a quadratic have?
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No real solutions.
What form does completing the square rewrite a quadratic into?
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(x + p)² + q

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