Problem preview

F-IF.8.a Warmup M2-023-A08-V02

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

Factor a quadratic and solve its zero factors

Problem

Factor \(x^{2}+2x-15\) completely by finding integers with product \(-15\) and sum \(2\). Set each factor equal to zero, solve for \(\text{both}~\text{zeros}\), and expand the product to check the original quadratic.

Answer choices

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x(x+2)−15; zeros 0 and −2.

(x+5)(x−3); zeros 5 and −3.

(x+5)(x−3); zeros −5 and 3.

(x−5)(x+3); zeros 5 and −3.

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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: Factor a quadratic and solve its zero factors