Question

Write an expression with four terms. Include at least one term with an exponent, one term with a coefficient of 5, one term with three factors, and one constant. Make two of the terms like terms.

Answer 1

An algebraic expression is looking something like this: 8x³ + 5
This expression has two terms; 8x³ and 5
The value of '8' in 8x³ is called COEFFICIENT
The value of '3' in 8x³ is called POWER or INDICES
The term 8x³ is called  an exponent because it has power/indices
The letter 'x' in the term 8x³ is called VARIABLE

So, we want an expression with four terms
_____ ⁺/₋ _____ ⁺/₋ _____ ⁺/₋ _____

One term with an exponent ⇒ You can choose any letter and any power that will go with it, for example, 6x⁴

One term with a coefficient of 5 ⇒ 5x⁴

One term with three factors ⇒ This could be a combination of any three letters that represent three values for example 'abc'. This term means a × b × c, so it has three factors.

One constant ⇒ Choose any number, say 45

Make two of the terms like terms ⇒ We have 6x⁴ + 5x⁴; these two terms are alike, they are in term of x⁴

Putting the four terms together: 6x⁴ + 5x⁴ + abc + 45