Use the long division method to find the result when 2x cubed, plus, 4 x, squared, plus, 7, x, plus, 5 is divided by x, plus 1.

The quotient obtained during the long division process is 2x^2 + 2x + 5, and the remainder is 0. So, the result of dividing 2x^3 + 4x^2 + 7x + 5 by x + 1 is 2x^2 + 2x + 5

so we know we're going to arrange the terms in descending order of their powers. The given polynomial is already arranged in this way.

next, divide the first term of the dividend (2x^3) by the first term of the divisor (x). The result is 2x^2.

then multiply the divisor (x + 1) by the quotient obtained in Step 2 (2x^2). The result is 2x^3 + 2x^2.

then subtract the product obtained in Step 3 from the dividend. (2x^3 + 4x^2 + 7x + 5) - (2x^3 + 2x^2) = 2x^2 + 7x + 5.

then bring down the next term from the dividend. In this case, bring down the term 7x.

then divide the first term of the new dividend (2x^2) by the first term of the divisor (x). The result is 2x.

then multiply the divisor (x + 1) by the quotient obtained in Step 6 (2x). The resmult is 2x^2 + 2x.

then subtract the product obtained in Step 7 from the new dividend. (2x^2 + 7x + 5) - (2x^2 + 2x) = 5x + 5.

then bring down the next term from the dividend. In this case, bring down the term 5.

then divide the first term of the new dividend (5x) by the first term of the divisor (x). The result is 5.

then multiply the divisor (x + 1) by the quotient obtained in Step 10 (5). The result is 5x + 5.

next subtract the product obtained in Step 11 from the new dividend. (5x + 5) - (5x + 5) = 0.

now we know the remainder is 0, indicating that the division is complete