Correct answer only ! one of the zeros of the polynomial function is 5. what is the factored form of the function?

(x - 5)(x + 5)(x - 2)²

Step-by-step explanation:

f(x) = x⁴ - 4x³ - 21x² + 100x - 100

Since x = 5, then use synthetic division to find the factored polynomial so we can find another root:

5    |    1    -4    -21    100    -100

     |    ↓    5      5     -80      100

           1    1     -16     20       0 ← remainder is zero so (x - 5) is a factor

Use the factored polynomial to find another root:

-5   |    1     1     -16    20

     |    ↓   -5     20   -20  

           1   -4      4      0 ← remainder is zero so (x + 5) is a factor

Now use the perfect square formula on the factored polynomial:

    x² - 4x + 4

= (x - 2)(x - 2)

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.