Synthetic Division

Synthetic Division

Assessment

Flashcard

Mathematics

10th - 11th Grade

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is synthetic division?

Back

A method used to divide a polynomial by a linear binomial of the form (x - c) without using long division.

2.

FLASHCARD QUESTION

Front

How do you set up synthetic division?

Back

Write the coefficients of the polynomial in a row, and use the zero of the divisor (c) to perform the division.

3.

FLASHCARD QUESTION

Front

What do you do if a polynomial is missing a term?

Back

You must place a zero as a coefficient for that missing term.

4.

FLASHCARD QUESTION

Front

If dividing x^6 + 4x^3 + 2, how many 0's are needed in synthetic division?

Back

4 zeros are needed for the missing x^5, x^4, x^2, and x^1 terms.

5.

FLASHCARD QUESTION

Front

What is the result of (2x^3 + 5x^2 + 9) ÷ (x + 3)?

Back

The result is 2x^2 - x + 3.

6.

FLASHCARD QUESTION

Front

What does it mean for k = 9 to be a zero of the function f(x) = 4x^2 - 33x - 27?

Back

It means that f(9) = 0, indicating that (x - 9) is a factor of the polynomial.

7.

FLASHCARD QUESTION

Front

What is the first step in synthetic division?

Back

Identify the zero of the divisor (x - c) and write it to the left.

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