How to find cube root without find the prime factors

Below.

Step-by-step explanation:

One method is by Trial and Improvement.

Example: Find the cube root of  20.

We know that cube root of 8 is 2 and cube root of 27 is 3 so the cube root of 20 is between 2 and 3.

So we could try 2.5:

2.5^3 = 6.25 * 2.5  - Use long multiplication to get 15.625.

So we need to go higher so we try 2.6*3:

=  17.576

2.7^3 = 19.683.

2.8^2 = 21.952.

The results are either side of 20 with 19.683 the closest.

So we can say  that the cube root is 2.7 to the nearest tenth.

Further calculations are necessary to get an answer correct to the nearest hundredth.

This is a rather long process

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

there is no graph so i cant sorry

step-by-step explanation: