Question

If P(x) = -2x2 + 3x – 5 and Q(x) = 5x – 2, form a simplified expression for P(x) - Q(x).

Answer 1

`-2x^2-2x-3`

Step-by-step explanation:

Given the functions P(x) and Q(x) defined as follows:

`\begin{gathered} P\mleft(x\mright)=-2x^2+3x-5 \\ Q\mleft(x\mright)=5x-2 \end{gathered}`

Then:

`\begin{gathered} P(x)-Q(x)=(-2x^2+3x-5)-(5x-2) \\ =-2x^2+3x-5-5x+2 \\ =-2x^2-2x-3 \end{gathered}`

A simplified expression for P(x)-Q(x) is:

`-2x^2-2x-3`