Final answer:
To find the quotient of the polynomial 8x³–10x²–x+3 divided by x−1, one would use polynomial long division or synthetic division, resulting in a polynomial quotient and possibly a remainder.
Step-by-step explanation:
The student has asked to find the quotient of the polynomial 8x³–10x²–x+3 when divided by x−1. This can be done using polynomial long division or synthetic division. We set up the division just like a long division problem and subtract the products of the divisor and the quotient from the dividend, carrying down the next term of the dividend each time.
If the division is done correctly, when the quotient is multiplied by x−1 and added to the remainder, we must obtain the original polynomial 8x³–10x²–x+3.