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100
x^2 + 12X + 36 = (X + 6)^2 can be described as this type of polynomial. can be factored as a binomial squared.
What are perfect square trinomials?
100
Another name for an algebraic fraction, which is a fraction with a polynomial in the numerator and/or denominator.
What is a rational expression?
100
Equivalent to raising a base to power of "1/2"
What is a square root?
100
Explain the Fundamental Theorem of Algebra.
A polynomial of degree n has at most n roots or solutions.
100
Show why a base raised to the power of zero is always +1.
Several explanations. Properties of Exponents = be able to present example like bottom of pg. 331;
200
The linear distance around a plane figure. Its formula is P = 2L + 2W
What is perimeter?
200
The set of numbers with subsets including irrational, rational, integers, whole and counting numbers. The entire set is called _______________
What are Real Numbers?
200
In the sum A + B, "A" and "B" are called _________
What are terms?
200
Explain excluded values and their impact on the domain of a rational expression.
Excluded values are not allowed to be in the domain because they are x-values that make the denominator zero. Division by zero is undefined.
200
Explain the solution set of an identity. 5x + 3 = 5x + 3
An identity has infinite solutions. If you have a rational equation (a fraction with variable in the denominator) then you must check for extraneous roots. If there is such a root, then the solution set is All REAL Numbers except the variable value making denominator of original equation zero.
300
An irreducible polynomial with integral coefficients whose GCF is 1.
What is a prime polynomial?
300
Another name for the solution to an open sentence. Graphically, the point where a graph crosses the x-axis.
What is a root?
300
In the Product AB, "A" and "B" are called ___________
What are factors?
300
Explain extraneous roots.
Extraneous roots are solutions to a rational equation that are also excluded values. Excluded values make the denominator zero and are not allowed to be in the final solution set. Therefore, extraneous roots are not permitted to be in the final solution set. We will refine this definition next semester.
300
Factoring Patterns and Strategies Properties of Exponents
Factoring: Page 227 recap of mental checklist. Make sure you have method for factoring when lead coefficient is not +1... Exponents: Page 332 recap of properties
400
Logical reasoning that uses given facts, definitions, properties, and previously proved theorems to show that a theorem is true.
What is a proof?
400
Replace an expression (variable or numerical) with an equivalent expression containing as few terms as possible.
What is simplify?
400
A mathematical statement shown to be true using a logically developed argument.
What is a theorem?
400
A - B = A + (-B) is an example of the ______ _ ________.
What is the Definition of Subtraction?
400
Real Numbers and the subsets Can you arrange the subsets properly and give an example of set member that distinguishes it from the other sets?
Irrational (no subsets) Rational: Integers: Whole: Counting
500
A polynomial equation whose highest degree is two.
What is quadratic polynomial or quadratic equation?
500
To find the values of the variables that make an open sentence true. To find the solution set to an open sentence.
What is solve?
500
If "AB = 0" THEN either "A = 0" or "B = 0" is known as this property.
What is the Zero Product Property?
500
How many possible solutions does a quadratic equation have? Explain why.
A quadratic is a 2nd degree equation. It has at most 2 solutions. Fundamental Theorem of Algebra states that a polynomial is degree n has at most n solutions.
500
Before you can begin to solve a quadratic, you must arrange it in standard form. You must set it equal to ______. Can you name the parts?
You must set it equal to ZERO. Standard Form: ax^2 + bx + c Name the parts: quadratic term= ax^2; linear term = bx; constant = c;
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