Question

When 12x* - 3x3 + 6x2 is divided by 3x2, the quotient is -

А. 4x^2 – 3x^3 + 6x^2
B. 12x^2 - 3x^3 + 2с
C. 9x^2 - x + 2
D. 4x^2 - x + 2

Answer 1

The division of the polynomial 12x^3 - 3x^3 + 6x^2 by 3x^2 yields the quotient 4x^2 - x + 2, assuming the original term 12x* is a typo for 12x^3. The correct answer is option D.

Step-by-step explanation:

When the polynomial 12x* - 3x3 + 6x2 is divided by 3x2, we perform the division for each term individually:

12x* / 3x2 = 4x* - 2

-3x3 / 3x2 = -x

6x2 / 3x2 = 2

Adding these results together provides the quotient 4x* - 2 - x + 2, where x* appears to be a typographical error and is likely meant to be x3. Consequently, the correct quotient, with the assumption that 12x* is a typo for 12x3, is 4x2 - x + 2, which corresponds to option D.