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F-IF.8.a Warmup M2-023-A07-V04

Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.

Choose the equivalent quadratic form that best reveals zeros

Problem

Rewrite \(x^{2}-2x-15\) in the form that exposes its zeros directly. Find \(\text{two}~\text{numbers}\) with product \(-15\) and sum \(-2\), verify the expansion, and state the zeros visible from the factors.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.8.a
Category
Functions
Domain
Interpreting Functions
Objective
Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.
Problem type
Choose the equivalent quadratic form that best reveals zeros