Question

2. Find the difference of 6x - 3x^2 and - 5x^2 - 6x +1. Write your final solution in standard form!

Answer 1

To start, we need write the polynomials:

$6x-3x^2and-5x^2-6x+1$

Now we gonna find the difference between first polynomial and second, like this:

tip: Special care with operate signs.

$\begin{gathered} 6x-3x^2-(-5x^2-6x+1);\text{ we operate with signs over here}\ldots \\ 6x-3x^2+5x^2+6x-1;\text{ We }put\text{ together terms with similar exponent in parentheses, like this:} \\ (5x^2-3x^2)+(6x+6x)-1;\text{ we operate}\ldots \\ 2x^2+12x-1. \end{gathered}$

That is the final solution, you can solve that polynomial if you need.

$2x^2+12x-1.$