SOLUTION: .1 h(x) = x^4 + 4x^3 + 5x^2 + 4x + 4. Write the polynomial as the product of linear factors? List all the zeros of the function. (Enter your answers as a comma-separated list.)

Question 1039732: .1 h(x) = x^4 + 4x^3 + 5x^2 + 4x + 4.
Write the polynomial as the product of linear factors?
List all the zeros of the function. (Enter your answers as a comma-separated list.)?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Use synthetic division to check on possible roots, -1, -2, -4. Expect one of them to be repeated.

-4   |   1   4   5   4   4
     |
     |      -4   0  -20  64
     |____________________________
        1    0   5  -16   68



-2   |   1    4    5    4    4
     |
     |       -2    -4   -2   -4
     |_______________________________
        1     2    1    2    0


Now possible roots to test are only  -1 and -2.


-2   |    1    2    1    2
     |
     |        -2    0    -2
     |____________________________
         1     0    1     0

Quadratic Factor , and linear binomial factors with multiplicity two. The quadratic may be stated .
Your h(x) is .
RELATED QUESTIONS
1. x^3 + 64 Factor out. I got (x+4)(x^2-4x+16) but it was wrong. 2. h(x) = x^4 +... (answered by josgarithmetic)

Write the polynomial f(x) = x^4 - 81 as the product of linear factors. Then list all the (answered by stanbon)

Find all real and complex zeros of the polynomial, and write p(x) as the product of... (answered by ikleyn)

Please help me solve this. Find all zeros of the function and write the polynomial as a... (answered by MathLover1)

for each polynomial function: a)find the rational zeros and all the other zeros; that is (answered by josgarithmetic)

Find all the Zeros of the function and write the polynomial as a product of linear... (answered by edjones)

Find all zeros of the function and write the polynomial as a product of linear factors. (answered by Alan3354)

Find all zeros of the function and write the polynomial as a product of linear factors. (answered by ikleyn)