Polynomial Operations and Binomial Expansion

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

Classify the polynomial 3x^3 - 6x by degree.

Back

Cubic (degree 3).

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

Add the polynomials: (2x + 5y) + (3x - 2y).

Back

5x + 3y.

Tags

CCSS.HSA.APR.A.1

Front

Classify the polynomial 2x - 9 by number of terms.

Back

Binomial (2 terms).

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

Perform synthetic division on (2x^3 - 5x - 7) ÷ (x - 2).

Back

2x^2 + 4x + 3 - 1/(x-2).

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.

Tags

CCSS.HSA.APR.D.6

Front

Divide: (4x^2 - 24x + 35) / (2x - 5).

Back

2x - 7.

Tags

CCSS.HSA.APR.D.6

Front

What is a monomial?

Back

A monomial is a polynomial with exactly one term.