12-3-24 Multiply Polynomials

Front

What is the result of multiplying (x^2 - 2x + 1)(x + 1)?

Back

x^3 - x^2 - x + 1

Front

What is the result of multiplying (x + 10)(x - 10)?

Back

x^2 - 100

Front

What is the result of squaring (4p + 1)?

Back

16p^2 - 8p + 1

Front

If the length of a rectangle is (x - 5) and the width is (x + 1), what is the area?

Back

x^2 - 4x - 5

Front

What is the result of multiplying (5x + 2)(x^2 - 3x + 6)?

Back

5x^3 - 13x^2 + 24x + 12

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of the polynomial 5x^3 - 13x^2 + 24x + 12?

Back

The degree is 3, which is the highest exponent of the variable x.

Front

What is the FOIL method used for?

Back

The FOIL method is used to multiply two binomials, standing for First, Outside, Inside, Last.

Front

What is the result of (x + 3)(x + 2)?

Back

x^2 + 5x + 6

Front

What is the result of (x - 4)(x + 4)?

Back

x^2 - 16