Translate this sentence into an equation.
52 is the product of Helena's height and 4.
Use the variable h to represent Helena's height.

52 = 4h

Step-by-step explanation:

"Product" tells me that I am multiplying. In this case, I am multiplying a number by a variable. This would be:

4 × h

BUT since I am multiplying a variable, I can just put it next to the 4 because when I see 4h, I know that I have to multiply them.

To figure out the answer to this problem, you have to divide both sides of the equation by 4.

52 = 4h

(÷4)  (÷4)

13 = h

Therefore, h equals 13.

(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

details

step-by-step explanation: