Dividing Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to divide polynomials?

Back

Dividing polynomials involves finding how many times a polynomial (the dividend) can be divided by another polynomial (the divisor), resulting in a quotient and possibly a remainder.

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 expression.

Front

How do you divide a polynomial by a monomial?

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial separately.

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, typically used when the divisor is in the form (x - c).

Tags

CCSS.HSA.APR.D.6

Front

What is the remainder theorem?

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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 factor a quadratic polynomial?

Back

To factor a quadratic polynomial of the form ax^2 + bx + c, find two numbers that multiply to ac and add to b, then rewrite the polynomial using these numbers.

Front

What is long division of polynomials?

Back

Long division of polynomials is a method similar to long division with numbers, used to divide a polynomial by another polynomial.

Tags

CCSS.HSA.APR.D.6

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables.