Maura writes an expression equivalent to 8a-(-3-5a)-2a. Her work is shown below. 8a-(-3-5a)-2a Step 1: 8a+3-5a-2a Step 2: (8a-5a-2a)+3 Step 3:(3a-2a)+3 Step 4: a+3 In what step does Maura make a mistake? Describe her error and find the correct equivalent expression.

she does not make a mistake.

Step-by-step explanation:

Maura writes an expression equivalent to 8a-(-3-5a)-2a. Her work is shown below. 8a-(-3-5a)-2a Step 1: 8a+3-5a-2a Step 2: (8a-5a-2a)+3 Step 3:(3a-2a)+3 Step 4: a+3 In what step does Maura make a mistake? Describe her error and find the correct equivalent expression.

(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

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1