Find a polynomial f(x) of degree 5 that has the following zeros. -9, 5, -7, 4, 8, f(x)=

Janessa Bradshaw

Janessa Bradshaw

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2022-08-20

Find a polynomial f(x) of degree 5 that has the following zeros.
-9, 5, -7, 4, 8
f(x)=

Answer & Explanation

taldenmr

taldenmr

Beginner2022-08-21Added 6 answers

Step 1
The Factor Theorem for a non-zero polynomial p states that, if c is any real number, then,
c is a zero of p iff (x-c) is a factor of p(x)
Step 2
The polynomial f of degree 5 with the given zeros can be formulated as follows. The degree of the factors must add up to 5.
f(x)=(x-(-9))(x-5)(x-(-7))(x-4)(x-8)
f(x)=(x+9)(x-5)(x+7)(x-4)(x-8)

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