Question Info

This question is public and is used in 17 tests or worksheets.

Type: Multiple-Choice
Category: Polynomials and Rational Expressions
Level: Grade 11
Standards: HSN-CN.C.9
Author: nsharp1
Last Modified: 3 months ago

View all questions by nsharp1.

Polynomials and Rational Expressions Question

View this question.

Add this question to a group or test by clicking the appropriate button below.

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.
You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.