Problem
The difference of 2 polynomial expressions is shown below. \[ \left(-2 x^{2}+w x-4\right)-\left(x^{2}+5 x+6\right)=-3 x^{2}-10 \] What is the value of \( w \) ? A. -8 B. -5 C. 2 D. 5
Solution
Step 1 ：(-2x^2+wx-4)-(x^2+5x+6)=-3x^2-10
Step 2 ：-2x^2+wx-4-x^2-5x-6=-3x^2-10
Step 3 ：wx=-10+4+6
Step 4 ：w=\frac{-10+4+6}{x}
Step 5 ：w=0
