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 zeros of a polynomial function?

Back

To find the zeros of a polynomial function, set the function equal to zero and solve for the variable. This can involve factoring, using the quadratic formula, or synthetic division.

Front

What is the Remainder Theorem?

Back

Front

What is synthetic division?

Back

Front

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

Back

A number is a zero of a polynomial if substituting that number into the polynomial results in a value of zero.

Front

How do you factor a polynomial completely?

Back

To factor a polynomial completely, identify common factors, use techniques like grouping, and apply special factoring formulas (e.g., difference of squares, perfect square trinomials) until no further factoring is possible.

Front

What is the Factor Theorem?

Back

Front

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

Back

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

Front

What is the relationship between the degree of a polynomial and the number of zeros?

Back

Front

How do you evaluate a polynomial at a specific value?

Back

To evaluate a polynomial at a specific value, substitute the value into the polynomial expression and simplify.