synthetic division

Front

What is synthetic division?

Back

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

Front

When can we use synthetic division?

Back

When dividing a polynomial by a binomial.

Front

What is the first step in synthetic division?

Back

Write down the coefficients of the polynomial.

Front

If f(x) = 4x^2 - 33x - 27, is k = 9 a zero of the function?

Back

Yes.

Front

What does it mean if (x - 2) is a factor of a polynomial?

Back

It means that f(2) = 0.

Front

What do you do after bringing down the first number in synthetic division?

Back

Multiply the binomial out front by the number just brought down.

Front

What is the remainder theorem?

Back

If a polynomial f(x) is divided by (x - c), the remainder is f(c).

Front

How do you determine if a binomial is a factor of a polynomial?

Back

If the remainder is zero when using synthetic division.

Front

What is the result of synthetic division if the divisor is (x - c)?

Back

The result is a polynomial of one degree less than the original polynomial.

Front

What is the relationship between zeros and factors of a polynomial?

Back

If c is a zero of f(x), then (x - c) is a factor of f(x).