Write a polynomial function of minimum degree with real coefficients whose zeros are 4, -8, and 2 + 5. Write the polynomial in standard form.
I am severely lost on this question and would appreciate some help

Question

Write a polynomial function of minimum degree with real coefficients whose zeros are 4, -8, and 2 + 5. Write the polynomial in standard form. 
I am severely lost on this question and would appreciate some help

campbell_st · Answer

well there are 4 different real zeros... so that means that your polynomial will be degree 4. 

so looking at the 1st zero 

x = 4     then  (x - 4) is a factor

so repeat the process to find the other 3 factors. 

Then all you will need to do is multiply the factors together.

anonymous · Answer

The other 3 factors are (x+8), (x-2) and (x-5), right?

campbell_st · Answer

good so 

P(x) = (x -4)(x+8)(x-2)(x-5)

now just distribute