Divide Polynomials

Front

What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial, similar to long division with numbers.

Tags

CCSS.HSA.APR.D.6

Front

What is the result of dividing a polynomial by a monomial?

Back

When dividing a polynomial by a monomial, each term of the polynomial is divided by the monomial.

Tags

CCSS.HSA.APR.D.6

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

How do you determine if a polynomial division is correct?

Back

You can check the correctness of polynomial division by multiplying the quotient by the divisor and adding the remainder; the result should equal the original polynomial.

Tags

CCSS.HSA.APR.D.6

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c).

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder theorem?

Back

The remainder theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Tags

CCSS.HSA.APR.B.2

Front

What is the factor theorem?

Back

The factor theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.

Tags

CCSS.HSA.APR.B.2

Front

How do you find the width of a rectangle if the area and one dimension are known?

Back

To find the width, divide the area by the known dimension.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What is the leading coefficient of a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree in a polynomial.