Divide the polynomial.
(16x^5y^4 + 6x^3y - 2x^2y - 24x^2y^4) by
-2x^2y
-2x^2y (-8x^3y^3 - 3x + 1 + 12y^3)
Thanks
To divide the polynomial (16x^5y^4 + 6x^3y - 2x^2y - 24x^2y^4) by -2x^2y, you can follow these steps:
Step 1: Identify the terms that have the same variable factors as the divisor. In this case, the divisor is -2x^2y. So, we need to find the terms in the dividend that have factors of -2x^2y.
The terms in the dividend that have factors of -2x^2y are:
-2x^2y
-24x^2y^4
Step 2: Divide each term separately by the divisor.
For the first term, -2x^2y divided by -2x^2y, we have:
-2x^2y / -2x^2y = 1
For the second term, -24x^2y^4 divided by -2x^2y, we have:
-24x^2y^4 / -2x^2y = 12y^3
So, the quotient of the polynomial divided by -2x^2y is:
1 + 12y^3