Use the factorization theorem to determine whether x−1/2 is a factor of f(x) = 2x^4 − x^3 + 2x − 1.

Falak Kinney 2021-02-24 Answered
Use the factorization theorem to determine whether x12 is a factor
of f(x)=2x4x3+2x1.
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Expert Answer

pierretteA
Answered 2021-02-25 Author has 102 answers
Step 1
If x12 is a factor then the remainder when f(x) divided by it will be zero.
Put x12=0
x=12
Step 2
Substitute x=12f(x).
f(12)=2(12)4(12)3+2(12)1
=1818+11
=0+0
=0
Thus the remainder is zero.
x12 is a factor of f(x).
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Jeffrey Jordon
Answered 2021-11-14 Author has 2047 answers

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