Adding, Subtracting, Multiplying, and Dividing Polynomials

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

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

Classify the polynomial: 5x^3 + 2x^2 - 7.

Back

Cubic, trinomial.

Front

What is the result of adding two polynomials?

Back

The result is a new polynomial formed by combining like terms.

Front

Simplify: 3x^2 + 5x - 2 + 4x^2 - 3x + 1.

Back

7x^2 + 2x - 1.

Front

What is the result of subtracting polynomials?

Back

The result is a new polynomial formed by subtracting the coefficients of like terms.

Front

Simplify: (2x^2 + 3x) - (x^2 - 4x).

Back

x^2 + 7x.

Front

Multiply: (x + 2)(x - 3).

Back

x^2 - x - 6.

Front

What is the product of two polynomials?

Back

The product is a new polynomial formed by multiplying each term of the first polynomial by each term of the second polynomial.

Front

Multiply: (3x + 4)(2x + 5).

Back

6x^2 + 27x + 20.