Question

Jeremiah divided the two (4x^(2)+10x-36)/(x+2) What is the quotient?

Answer 1

To divide the expression (4x^(2)+10x-36)/(x+2), we need to use long division method. The quotient is 4x + 2 with a remainder of -2x - 40.

Step-by-step explanation:

To divide the expression (4x^(2)+10x-36)/(x+2), we need to use long division method. Here are the steps:

1. Divide the first term of the dividend 4x^(2) by the divisor x+2. The result is 4x.
2. Multiply the divisor x+2 by the quotient 4x. The result is 4x(x+2) = 4x^(2) + 8x.
3. Subtract the product 4x^(2) + 8x from the dividend 4x^(2) + 10x - 36. The result is 10x - 36 - (4x^(2) + 8x) = 2x - 36.
4. Bring down the next term from the dividend, which is -36.
5. Divide the new dividend 2x - 36 by the divisor x+2. The result is 2.
6. Multiply the divisor x+2 by the quotient 2. The result is 2(x+2) = 2x + 4.
7. Subtract the product 2x + 4 from the new dividend 2x - 36. The result is -36 - (2x + 4) = -36 - 2x - 4 = -2x - 40.

The quotient is 4x + 2 with a remainder of -2x - 40.