Question

expression or sides of an equation.
a polynomial is an expression that consists of _______, variables, and exponents.
a _______ is a number or quantity placed (generally) before and multiplying another quantity, such as in 4 * x.
when simplifying an expression, combine _______ terms to simplify the expression to its lowest form.

Explanation:

First Blank (Polynomial Components)

A polynomial is defined as an expression composed of coefficients, variables, and exponents, combined using addition, subtraction, multiplication (non - negative integer exponents for variables). So the first blank should be filled with "coefficients".

Second Blank (Definition of Coefficient)

A coefficient is a number (or quantity) that is placed before a variable (or another quantity) and multiplies it. For example, in the term \(4x\), 4 is the coefficient of \(x\). So the second blank is "coefficient".

Third Blank (Simplifying Expressions)

When simplifying algebraic expressions, like - terms (terms with the same variables raised to the same powers) can be combined. For example, in the expression \(3x + 5x\), the like - terms \(3x\) and \(5x\) can be combined to get \(8x\). So the third blank is "like".

Answer:

s:

1. coefficients
2. coefficient
3. like