Alg2 Review on Section 3.4

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.

Front

How do you find the remainder when dividing a polynomial by a linear factor?

Back

You can find the remainder by evaluating the polynomial at the value that makes the linear factor zero (Remainder Theorem).

Front

What is the Remainder Theorem?

Back

Front

What does it mean for a number to be a zero of a polynomial?

Back

Front

How do you factor a polynomial completely?

Back

To factor a polynomial completely, find all linear factors and irreducible quadratic factors, ensuring that the polynomial is expressed as a product of these factors.

Front

What is synthetic division?

Back

Front

What is the significance of finding all real zeros of a polynomial?

Back

Finding all real zeros helps in understanding the behavior of the polynomial function, including its intercepts and turning points.

Front

How do you determine if a polynomial is factorable?

Back

A polynomial is factorable if it can be expressed as a product of polynomials of lower degrees with real coefficients.

Front

What is the Factor Theorem?

Back

Front

What is the process for using long division to divide polynomials?

Back

1. Divide the leading term of the dividend by the leading term of the divisor. 2. Multiply the entire divisor by this result. 3. Subtract the result from the dividend. 4. Repeat until the degree of the remainder is less than the degree of the divisor.