Which of the following is the prime factorization for the number 2520? A.)5 · 7 · 8 · 9
B.)2 3 · 3 2 · 5 · 7
C.)2 3 · 5 · 7 · 9
D.)2 3 · 3 2 · 57

A

Step-by-step explanation:

5 x 7 x 8 x 9

5 x 7 = 35

35 x 8 = 280

280 x 9 = 2520

(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

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation: