Quadratic Polynomial Practice Find the zeroes and verify the relationship with the coefficients

Quadratic Polynomial Practice

Find the zeroes and verify the relationship with the coefficients.

Solve for p(x) = 0:

Zero 1 (α)

Zero 2 (β)

Solution & Verification

1. Finding the Zeroes (using Splitting the Middle Term)

2. Verifying the Relationship

Sum of Zeroes (α + β)

Product of Zeroes (αβ)

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Interactive Parabola Explorer Observe the graph, answer the questions, and generate new challenges!-of Quadratic Polynomial

Interactive Parabola Explorer

Observe the graph, answer the questions, and generate new challenges!

The Parabola

Quadratic Polynomial

The general form is ax² + bx + c

where the condition is a ≠ 0

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Analyze the Graph

i) What is the shape of the graph?

ii) Name the type of polynomial displayed.

iii) How many zeroes does it have?

iv) Where does the parabola intersect the x-axis? (the zeroes)

v) Find the sum and product of the zeroes.

Challenge Yourself!

Generate a new parabola and test your knowledge again.