Which number line correctly shows 4.5 – 2.5?

First option is correct.

Step-by-step explanation:

Since we have given that

According to the number line,

First we go 4.5 units towards the positive axis of x from the origin.

And then back by 2.5 units from there towards the negative axis of x to show the subtraction.

So, it will interpretate the subtraction of 2.5 from 4.5.

Numerically, it is expressed as

4.5-2.5=2

So, It should reach at 2 in the positive axis of x.

Hence, First option is correct.

(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

d

gimmee one of those gold crowns!

~coco