Answer
$$10x^2 - 9x + 4$$
Work Step by Step
When you subtract a polynomial, you add the opposite of that polynomial. We need to rewrite the polynomial to reflect this:
$$6x^2 - 8x + 3 + 4x^2 - x + 1$$
Group like terms:
$$(6x^2 + 4x^2) + (-8x - x) + (3 + 1)$$
Combine like terms:
$$10x^2 - 9x + 4$$