What is synthetic division?
PreCalculus Flashcard 2.3

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c). It is faster than long division and involves using coefficients of the polynomial.
2.
FLASHCARD QUESTION
Front
What is the next step in synthetic division after bringing down a number?
Back
Multiply the number brought down by the divisor.
3.
FLASHCARD QUESTION
Front
What should you do if you are missing an exponent in a polynomial?
Back
You must put a zero as a coefficient placeholder for that exponent.
4.
FLASHCARD QUESTION
Front
How do you find the value of a polynomial function at a specific point using synthetic substitution?
Back
Substitute the value into the polynomial and perform synthetic division to find the result.
5.
FLASHCARD QUESTION
Front
What are the zeros of a polynomial?
Back
The zeros of a polynomial are the values of x for which the polynomial equals zero.
6.
FLASHCARD QUESTION
Front
How do you determine if a number is a zero of a polynomial?
Back
Substitute the number into the polynomial. If the result is zero, then it is a zero of the polynomial.
7.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in a polynomial?
Back
Coefficients determine the weight of each term in the polynomial and affect the shape and position of its graph.
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