Question

9. What is the equation of the polynomial whose zeros are -4, and 8?

and f(x) = (x-4)(x+8)
e. f(x) = (x +4)(x + 8)
b.f(x) = (x + 4)(x-8)
d. f(x) = (x - 1)(x-8)


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Answer 1

Answer: b.f(x) = (x + 4)(x-8)

Explanation:

The formula for finding equation of polynomial given the roots is given by :

f(x) = ( x -α ) (x - β )

where α and β are the roots of the equation

from the given question : α = -4 , β = 8 , substituting into the equation , we have :

f(x) = (x -{-4} ) ( x - 8 )

f (x) = (x +4 ) (x - 8 )