To divide (3x^3 + 10x^2 - 12x - 5) by (3x + 1), we can use long division.
The first step is to divide 3x into 3x^3, which gives x^2. Multiply (3x + 1) by x^2 to get 3x^3 + x^2. Subtract this from 3x^3 + 10x^2 - 12x - 5 to get 9x^2 - 12x - 5.
Next, divide 3x into 9x^2, which gives 3x. Multiply (3x + 1) by 3x to get 9x^2 + 3x. Subtract this from 9x^2 - 12x - 5 to get -15x - 5.
Finally, divide 3x into -15x, which gives -5. Multiply (3x + 1) by -5 to get -15x - 5. Subtract this from -15x - 5 to get 0.
Therefore, the quotient is x^2 + 3x - 5. So the answer is option D.
Divide.%0D%0A%0D%0A(3x3 + 10x2 – 12x – 5) ÷ (3x + 1)%0D%0A(1 point)
A. x^2-3x+5
B. x^2+3x+5
C. x^2-3x-5
D. x^2+3x-5
1 answer