Solving Polynomial Equations
Flashcard
•
Mathematics
•
11th Grade
•
Hard
+5
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial equation?
Back
A polynomial equation is an equation that involves a polynomial expression, which is a mathematical expression consisting of variables raised to whole number powers and coefficients.
2.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial expression.
3.
FLASHCARD QUESTION
Front
How do you factor a polynomial?
Back
To factor a polynomial, you can look for common factors, use techniques like grouping, or apply special formulas such as the difference of squares or the sum/difference of cubes.
4.
FLASHCARD QUESTION
Front
What is the Rational Root Theorem?
Back
The Rational Root Theorem states that any rational solution of a polynomial equation, in the form of a fraction p/q, has p as a factor of the constant term and q as a factor of the leading coefficient.
Tags
CCSS.HSA.APR.B.2
5.
FLASHCARD QUESTION
Front
What is the significance of the Fundamental Theorem of Algebra?
Back
The Fundamental Theorem of Algebra states that every non-constant polynomial equation has at least one complex root, and thus a polynomial of degree n has exactly n roots (counting multiplicities).
Tags
CCSS.HSN.CN.C.9
6.
FLASHCARD QUESTION
Front
How do you solve a cubic equation?
Back
To solve a cubic equation, you can use factoring, synthetic division, or apply the cubic formula. Finding one root allows you to reduce the cubic to a quadratic.
Tags
CCSS.8.EE.A.2
7.
FLASHCARD QUESTION
Front
What is synthetic division?
Back
Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c), which is faster than long division.
Tags
CCSS.HSA.APR.D.6
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