
*AA C&C Unit 4 Test REVIEW Part 1
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of a polynomial equation with given zeros?
Back
If a polynomial has zeros at x = a, x = b, and x = c, the polynomial can be expressed as p(x) = k(x - a)(x - b)(x - c), where k is a constant.
Tags
CCSS.HSF-IF.C.7C
2.
FLASHCARD QUESTION
Front
How do you determine the end behavior of a polynomial function?
Back
The end behavior of a polynomial function is determined by the leading term of the polynomial. If the leading coefficient is positive and the degree is even, the ends of the graph rise. If the leading coefficient is negative and the degree is even, the ends fall. If the degree is odd, the ends will go in opposite directions.
3.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation, and what does it indicate?
Back
The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac. It indicates the nature of the roots: if positive, there are two distinct real solutions; if zero, there is one real solution; if negative, there are two complex solutions.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What is the Quadratic Formula?
Back
The Quadratic Formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
How do you apply the Quadratic Formula to solve a quadratic equation?
Back
To apply the Quadratic Formula, identify the coefficients a, b, and c from the equation ax² + bx + c = 0, substitute them into the formula, and simplify to find the values of x.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is a polynomial's degree, and how does it affect the graph?
Back
The degree of a polynomial is the highest power of the variable in the polynomial. It affects the number of turning points and the end behavior of the graph.
7.
FLASHCARD QUESTION
Front
What are the characteristics of a polynomial function's graph?
Back
Polynomial functions are continuous and smooth, can have multiple turning points, and their end behavior is determined by the leading term.
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