Select the correct answer. Which statement best describes the zeros of the function h(x) = (x + 9)(x2 - 10x+ 25)?
ОА.
The function has three complex zeros.
OB. The function has three distinct real zeros.
OC.
The function has one real zero and two complex zeros.
OD.
The function has two distinct real zeros.

Step-by-step explanation:

h(x) = (x + 9)(x² - 10x + 25) = (x + 9)(x - 5)²

When h(x) = 0, (x + 9) = 0 or (x - 5)² = 0.

=> x = -9 or x = 5.

Hence there are 2 distinct real roots of h(x).

(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

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.