8.4 - Squaring Binomials & Special Cases

Front

What is a monomial?

Back

A monomial is an algebraic expression that consists of a single term, which can be a number, a variable, or a product of numbers and variables with non-negative integer exponents.

Front

Which of the following is a monomial: x^(1/3), 3x^(-7), x^1, x^7?

Back

x^1 is a monomial because there is a positive whole-number exponent.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

Identify the quadratic expression: x^3 + x^2 + 5, x^2 - 1, q^4 + 2q + q + 4.

Back

x^2 - 1 is a quadratic expression.

Front

What is the result of multiplying the binomials (3x + 5)(3x - 5)?

Back

The result is 9x^2 - 25.

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a^2 - b^2 = (a + b)(a - b).

Front

What is the result of multiplying the binomials (x^2 + 12)(x^2 - 12)?

Back

The result is x^4 - 144.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables raised to whole number exponents and coefficients, combined using addition, subtraction, and multiplication.

Front

What is the product of the monomials 2x^3 and 5x^3?

Back

The product is 10x^6.

Front

What is the general form of a binomial?

Back

A binomial is an algebraic expression that contains exactly two terms, typically in the form a + b or a - b.