Synthetic Division Practice

Front

What is synthetic division?

Back

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

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 the left.

Front

What is the purpose of using a zero placeholder in synthetic division?

Back

To account for missing degrees in the polynomial, ensuring the correct alignment of coefficients.

Front

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

Back

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

Front

What mistake did Cam make in his synthetic division of (x^4 + 3x^2 - 4x - 2) by (x - 2)?

Back

He did not use a zero placeholder for the x^3 term.

Front

In synthetic division, what does the left-hand box represent?

Back

It represents the value of the divisor's zero (c) used in the division.

Front

What is the result of dividing x^3 - 3x^2 - 10x + 24 by x + 3?

Back

The result is x^2 - 6x + 8.

Front

What is the quotient when dividing (3x^3 + 5x - 1) by (x + 1)?

Back

The quotient is 3x^2 - 3x + 8 - 9/(x + 1).

Front

What is the remainder in synthetic division?

Back

The last number obtained after performing synthetic division, representing the leftover part of the polynomial.

Front

How do you find the value of c in synthetic division?

Back

c is found by setting the divisor (x - c) equal to zero, solving for x.