Question

8) Divide
2x³+x²-40x
x+5

Answer 1

To divide the expression 2x³+x²-40xx+5, we can use polynomial long division. The quotient is 2x² - 38x - 40.

Step-by-step explanation:

To divide the expression 2x³+x²-40xx+5, we can use polynomial long division. Here are the steps:

1. Arrange the terms in descending order of exponents: 2x³ - 40xx + x² + 5.
2. Divide the first term of the dividend (2x³) by the first term of the divisor (x), which gives us 2x².
3. Multiply the entire divisor (x) by the result of the previous step (2x²) and subtract it from the original dividend. This gives us a new dividend, which is -38x² + x² + 5.
4. Repeat steps 2 and 3 until the degree of the new dividend is less than the degree of the divisor.
5. The final quotient is the sum of all the results obtained in step 2. In this case, the quotient is 2x² - 38x - 40.