Multiplying and Dividing polynomials practice

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 does it mean to expand a polynomial?

Back

Expanding a polynomial means to multiply out the factors and simplify the expression to combine like terms.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Expand the expression: (x + 3)(x + 2)

Back

x^2 + 5x + 6

Front

What is the result of multiplying (a + b)(a - b)?

Back

a^2 - b^2 (Difference of squares)

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

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

Back

2x^2 + 11x + 12

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

Expand: 4(x + 5)

Back

4x + 20

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor that multiplies a variable in a term of a polynomial.