# Polynomials and Rational Expressions Question

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

- Quadratic polynomials always intersect the x-axis.
- 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.
- When a quadratic polynomial doesn't cross the x-axis, this simply implies that its roots are complex with non-zero imaginary parts.
- Simply translate the quadratic polynomial till it does cross the x-axis.