Question

8. Which polynomial is equivalent to the expression (3x2 - 2x + 5) - (2x2 - 5x + 1)? (1 point)
x2 + 3x + 4
x2 - 7x + 6
x2 - 3x - 6
x2 - 7x + 4

Answer 1

\(\bf (3x^2 - 2x + 5) - (2x^2 - 5x + 1)\\ \quad \\
\textit{recall that }-\times -\implies +\qquad -\times +\implies -\\ \quad \\
(3x^2 - 2x + 5) - (2x^2 - 5x + 1)\implies 3x^2 - 2x + 5 - 2x^2 + 5x - 1\\ \quad \\
\color{red}{3x^2- 2x^2} \color{green}{- 2x+ 5x} \color{blue}{+ 5 - 1}\)

sum up like-terms