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25 votes
25 votes
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zero(s) -4,-2,5

User Cwin
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1 Answer

21 votes
21 votes

Answer:

Step-by-step explanation:

The zeros of the polynomial function are given us as -5,-1,2

If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:

f(x) = (x - α)(x - β)(x - ω)

where α = -5, β = -1, and ω = 2

NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer

User RomeuBraga
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