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)

b

step-by-step explanation:

i can't solve unless i know what the line is

step-by-step explanation:

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