## Introductory Algebra for College Students (7th Edition)

$$-x^2 + 4x + 8$$
We are subtracting a polynomial in this problem, so subtracting a polynomial is the same as adding its opposite. We can now rewrite the problem according to this property: $$(4x^2 - 3x + 2) + (-5x^2 + 7x + 6)$$ Simplify the expression by getting rid of the parentheses: $$4x^2 - 3x + 2 - 5x^2 + 7x + 6$$ Group like terms: $$(4x^2 - 5x^2) + (-3x + 7x) + (2 + 6)$$ Combine like terms: $$-x^2 + 4x + 8$$