Question

Divide and write in standard form (8x3 + 14x2) ÷ (4x + 7)​

Answer 1

To divide the expression (8x^3 + 14x^2) by (4x + 7), you can use polynomial long division. The quotient is 2x^2 - x + 2.

Step-by-step explanation:

To divide the expression (8x^3 + 14x^2) by (4x + 7), we can use polynomial long division. Here are the steps:

1. Arrange the terms in decreasing order of powers.
2. Divide the first term of the dividend (8x^3) by the first term of the divisor (4x).
3. Write the result above the line.
4. Multiply the divisor (4x + 7) by the quotient (2x^2).
5. Subtract the product from the dividend, bringing down the next term.
6. Repeat steps 2-5 until you have no more terms to bring down.
7. The quotient is the result of the division.

In this case, the quotient is 2x^2 - x + 2.