Adding, Subtracting and Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, 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 expression.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Front

What is the product of (x + a)(x + b)?

Back

The product is x² + (a + b)x + ab.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Simplify: 2(x + 3) + 4(x - 1)

Back

2x + 6 + 4x - 4 = 6x + 2.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

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

Back

x² + 3x - 2x - 6 = x² + x - 6.

Front

What is the result of combining like terms: 3x + 4x - 2?

Back

The result is 7x - 2.