Algebra 2 - Polynomial Division

Front

What is polynomial division?

Back

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

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

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

How do you find the quotient in polynomial division?

Back

To find the quotient, divide the leading term of the dividend by the leading term of the divisor, then multiply the entire divisor by this result and subtract from the dividend.

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 divisor of the form (x - c), using coefficients instead of variables.

Tags

CCSS.HSA.APR.D.6

Front

What is the significance of the leading coefficient in polynomial division?

Back

The leading coefficient is the coefficient of the term with the highest degree and determines the end behavior of the polynomial.

Tags

CCSS.HSA.APR.D.6

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Front

What is long division in the context of polynomials?

Back

Long division for polynomials is a method similar to long division for numbers, where you divide, multiply, and subtract repeatedly until you reach a remainder.

Tags

CCSS.HSA.APR.D.6

Front

What is the quotient of (2x^3 + 7x^2 - 6x - 8) ÷ (x + 4)?

Back

The quotient is 2x^2 - x - 2.

Tags

CCSS.HSA.APR.D.6