Simplify 500 to the nearest common factor

1/2

Step-by-step explanation:

Factor both the numerator and denominator down to prime factors:

500 = 22 * 53

1,000 = 23 * 53

Calculate the greatest common factor, GCF (also called greatest common divisor, GCD), by taking all the common prime factors of the numerator and denominator, by the lowest exponents:

gcd (22 * 53; 23 * 53) = 22 * 53

Divide both the numerator and denominator by their greatest common factor, GCF (also called the greatest common divisor, GCD):

500/1,000 =

(22 * 53)/(23 * 53) =

((22 * 53) ÷ (22 * 53)) / ((23 * 53) ÷ (22 * 53)) =

1/2

Rewrite result:

1 ÷ 2 = 0.5 as a decimal number.

Hope this helps!!

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

triangle and cube

step-by-step explanation: