Select the correct answer. if the zeros of a quadratic function are 3 and 8, what are the factors of the function? a. (x + 8) and (x − 3) b. (x − 8) and (x + 3) c. (x + 8) and (x + 3) d. (x − 8) and (x − 3)

C. (x-8) and (x-3)

Step-by-step explanation:

When we calculate the zeros of a function, we are calculating the points where that function crosses the x axis, and to do so we have to equal the function to zero and isolate X.

The only way a multiplication can have a result of 0, is that any of it's factors were equal to zero. So we can take both factors and equal them to zero and isolate x to know the function's zeros.

(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