Polynomial Types and Basic Operations
Polynomials come in different forms depending on how many terms they have. A monomial has just one term like -20 or 3xyz. A binomial contains two terms such as 10x - 8. A trinomial has three terms like x² + 3x - 3.
When writing polynomials, remember that terms are connected by addition (+) or subtraction (-) signs. Proper monomials must have whole number exponents, no variables in the denominator, and no variable exponents.
Let's practice with perimeter and area calculations! For a rectangle with length 4x+3 and width 3x+1, we can find the perimeter using P = 2(length) + 2(width). This gives us P = 2 + 2 = 8x + 6 + 6x + 2 = 14x + 8.
Try This! Find the area of the same rectangle by multiplying length × width. The formula is A = 4x+3$$3x+1. Can you expand this expression?
