Divide 32x3 + 48x2 − 40x by 8x
To divide 32x^3 + 48x^2 − 40x by 8x, we first need to simplify the expression:
32x^3 + 48x^2 − 40x = 8x(4x^2 + 6x − 5)
Now we can divide by 8x:
(32x^3 + 48x^2 − 40x) ÷ (8x) = 4x^2 + 6x − 5
Therefore, the quotient is 4x^2 + 6x − 5.
To divide the polynomial 32x^3 + 48x^2 - 40x by 8x, we can divide each term individually.
First, divide 32x^3 by 8x:
32x^3 / 8x = 4x^2
Next, divide 48x^2 by 8x:
48x^2 / 8x = 6x
Finally, divide -40x by 8x:
-40x / 8x = -5
Therefore, the quotient of 32x^3 + 48x^2 - 40x divided by 8x is 4x^2 + 6x - 5.