use polynomial long division to divide -20x^3 -10x^2 -16x -8 by -5x^2 -4
visit calc101.com and click on the long division link. It will show all the steps in doing the division. You can play around with whatever polynomials you want.
To perform polynomial long division, follow these steps:
Step 1: Write the dividend and divisor in decreasing order of degree.
The dividend is -20x^3 - 10x^2 - 16x - 8.
The divisor is -5x^2 - 4.
Step 2: Divide the term with the highest degree in the dividend by the term with the highest degree in the divisor.
In this case, divide -20x^3 by -5x^2, which gives us 4x.
Step 3: Multiply the divisor by the result from step 2 and write the product below the dividend, aligning the terms in the appropriate columns.
Multiply -5x^2 - 4 by 4x, which gives us -20x^3 - 16x.
Write it under the dividend:
4x
-5x^2 - 4 | -20x^3 - 10x^2 - 16x - 8
- (-20x^3 - 16x)
-------------------
-10x^2 + 0
Step 4: Subtract the product from step 3 from the dividend.
Subtract -20x^3 - 16x from -20x^3 - 10x^2 - 16x - 8, which gives us -10x^2 - 8.
Step 5: Bring down the next term from the dividend.
Bring down -8.
The new dividend becomes -10x^2 - 8.
Step 6: Repeat steps 2 to 5 until there are no more terms in the dividend.
In this case, the new divisor is -5x^2 - 4, and the new dividend is -10x^2 - 8.
Repeat steps 2 to 5 using the new divisor and dividend:
4x + 2
-5x^2 - 4 | -10x^2 - 8
- (-10x^2 + 8)
----------------
0
Step 7: Write the final result.
The quotient is 4x + 2, and the remainder is 0.
Therefore, the division of -20x^3 - 10x^2 - 16x - 8 by -5x^2 - 4 is equal to 4x + 2 with a remainder of 0.