Multiply Polynomials (Special Products)

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 polynomial.

Front

What are special products in polynomials?

Back

Special products refer to specific patterns that arise when multiplying polynomials, such as the square of a binomial and the product of a sum and difference.

Front

What is the formula for the square of a binomial?

Back

(a + b)² = a² + 2ab + b².

Front

What is the formula for the difference of squares?

Back

a² - b² = (a + b)(a - b).

Front

What is the product of (x + 3)(x - 3)?

Back

x² - 9.

Front

What is the product of (x + 5)²?

Back

x² + 10x + 25.

Front

What is the product of (2x + 1)(3x + 4)?

Back

6x² + 8x + 3x + 4 = 6x² + 11x + 4.

Front

What is the product of (x - 2)(x + 2)?

Back

x² - 4.

Front

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

Back

a² - b².