Algebra 2 midterm review (Fall)

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What are complex roots in a quadratic equation?

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Complex roots occur when the discriminant (b² - 4ac) is less than zero, resulting in roots that include imaginary numbers.

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How can you determine the number of real zeros in a quadratic graph?

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The number of real zeros can be determined by the discriminant: if it's positive, there are 2 real zeros; if zero, 1 real zero; if negative, 0 real zeros.

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What is the conjugate of a complex number?

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What is the quadratic formula?

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What does it mean for a quadratic function to have no real solutions?

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It means the graph of the function does not intersect the x-axis, which occurs when the discriminant is negative.

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How do you find the vertex of a quadratic function in standard form?

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What is the significance of the discriminant in a quadratic equation?

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The discriminant determines the nature of the roots: positive means two distinct real roots, zero means one real root, and negative means two complex roots.

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How do you express a complex number in standard form?

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