Final answer:
To divide the polynomial 3x^3+10x^2+7x by x+1, use long division.
Step-by-step explanation:
To divide the polynomial 3x^3+10x^2+7x by x+1, we can use long division.
Divide the first term of the dividend (3x^3) by the first term of the divisor (x) to get 3x^2. Write this as the first term of the quotient.
Multiply the entire divisor (x+1) by the first term of the quotient (3x^2) and subtract it from the dividend (3x^3+10x^2+7x). This will give you a new dividend.
Repeat these steps until you have divided all the terms of the dividend.
The quotient of 3x^3+10x^2+7x divided by x+1 is 3x^2+7x+0.