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

Falak Kinney

Falak Kinney

Answered question

2021-02-24

Use the factorization theorem to determine whether x12 is a factor
of f(x)=2x4x3+2x1.

Answer & Explanation

pierretteA

pierretteA

Skilled2021-02-25Added 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).
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-14Added 2605 answers

Answer is given below (on video)

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