Question

Find the quotient of 4, t, to the power 4 , minus, 20, t, cubed, minus, 4, t, squared, plus, 8, t4t
4
−20t
3
−4t
2
+8t divided by minus, 4, t−4t.

Answer 1

Divide each term by -4t:

4t^4 ÷ (-4t) = -t^3
-20t^3 ÷ (-4t) = 5t^2
-4t^2 ÷ (-4t) = t
8t ÷ (-4t) = -2

So the quotient is -t^3 + 5t^2 + t - 2.