Question

21.2.3 Quiz: Adding and Subtracting PolynomialsQuestion 1 of 10Which polynomial represents the difference below?5x² +9x+3(6x² – 3x)

Answer 1

We have the following polynomials:

`\begin{gathered} 5x^2+9x+3 \\ \\ 6x^2-3x \end{gathered}`

1. And we need to find the difference between them, and we can proceed as follows to get it:

`\begin{gathered} 5x^2+9x+3 \\ -(6x^2-3x) \end{gathered}`

That is, we have to perform the next operation:

2. Now, we have to apply the distributive property - in this case, we have to multiply by -1 both terms -, and after that, we have to add algebraically the like terms as follows:

Therefore, in summary, the polynomial which represents the difference between both polynomials is:

`-x^2+12x+3`