Question

Simplify and then classify by degree and number of terms with an explanation

Answer 1

Step 1: Write out the expression to simplify

`2x+3x^2(4x-5)`

Step 2: Remove the bracket using distribution property

`\begin{gathered} 2x+3x^2(4x-5)\Rightarrow2x+3x^2(4x)-3x^2(5) \\ \Rightarrow2x+12x^3-15x^2 \end{gathered}`

Step 3: Rewrite the resulting expression in order of degree and state the degree and the number of terms

`12x^3-15x^2+2x`

The degree is 3 (third degree) as the highest power of the variable is 3, there are three terms in the expression

Hence, the expression is a cubic expression (degree 3) and a trinomial (3 terms)