Subtract. Express your answer as a polynomial in standard form.
(8x^3−4x^2+9x+8) − (6x^2−7x+8)=
To subtract the polynomials, we must combine like terms.
The resulting polynomial is:
8x^3 - 4x^2 + 9x + 8 - 6x^2 + 7x - 8
Combining like terms, we get:
8x^3 - (4x^2 - 6x^2) + (9x + 7x) + (8 - 8)
Simplifying further, we have:
8x^3 - 10x^2 + 16x
Therefore, the polynomial in standard form is:
8x^3 - 10x^2 + 16x