Operations with Polynomials (Add, Subtract & Multiply) week 5

Front

What is 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 does it mean to add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable parts the same.

Front

What does it mean to subtract polynomials?

Back

To subtract polynomials, change the signs of the terms in the polynomial being subtracted and then combine like terms.

Front

What is the product of (x + 10)(x - 10)?

Back

x² - 100

Front

What is the difference of (3 - 2x + 2x²) - (4x - 5 + 3x²)?

Back

-x² - 6x + 8

Front

What is the product of (x - 3)(6x - 2)?

Back

6x² - 20x + 6

Front

What is the square of (x - 4)?

Back

x² - 8x + 16

Front

What is the formula for the area A of a rectangle in terms of its length x and width 2x?

Back

A = 2x²

Front

What is the formula for the circumference C of a rectangle in terms of its length x and width 3x?

Back

C = 3x² - 7x + 12

Front

If A + B = C, how do you find B?

Back

B = C - A.