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Type: Multiple-Choice
Category: Polynomials and Rational Expressions
Standards: HSN-CN.C.9
Author: nsharp1

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# Polynomials and Rational Expressions Question

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## Grade 11 Polynomials and Rational Expressions CCSS: HSN-CN.C.9

Looking at the graph of a quadratic polynomial, roots or zeros correspond to where the graph crosses the x-axis. When the graph just touches the x-axis, this corresponds to a double root. The Fundamental Theorem of Algebra states that a quadratic polynomial will always have 2 roots. How is this reconciled with a quadratic polynomial whose graph does not intersect the x-axis?
1. Quadratic polynomials always intersect the x-axis.
2. If a quadratic polynomial doesn't cross the x-axis it is no longer a polynomial, and the Fundamental Theorem of Algebra no longer applies.
3. When a quadratic polynomial doesn't cross the x-axis, this simply implies that its roots are complex with non-zero imaginary parts.
4. Simply translate the quadratic polynomial till it does cross the x-axis.
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