FLASHCARD#10 12th 1st period
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
Match the graph to the function: f(x) = -x⁴-x³+5x²-6, f(x) = x⁴+3x²-3x+1, f(x) = -x³+2x²-x-6, f(x) = x⁴+x³+5x²-6
Back
The correct function is f(x) = x⁴+x³+5x²-6.
2.
FLASHCARD QUESTION
Front
What is the conjugate of 2 + √3?
Back
The conjugate is 2 - √3.
3.
FLASHCARD QUESTION
Front
Write the polynomial with the given zeros: 3i and -2.
Back
The polynomial is P(x) = x³ + 2x² + 9x + 18.
4.
FLASHCARD QUESTION
Front
What is the y-intercept of f(x) = -3x⁴ + x³ - 2x² + x - 1?
Back
The y-intercept is (0, -1).
5.
FLASHCARD QUESTION
Front
Define a polynomial function.
Back
A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.
6.
FLASHCARD QUESTION
Front
What is a zero of a polynomial?
Back
A zero of a polynomial is a value of x for which the polynomial evaluates to zero.
7.
FLASHCARD QUESTION
Front
Explain the relationship between the degree of a polynomial and the number of zeros.
Back
The degree of a polynomial indicates the maximum number of zeros it can have, counting multiplicities.
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