Use the factorization theorem to determine whether x-1/2 is a

Painevg

Painevg

Answered question

2021-12-06

Use the factorization theorem to determine whether x-1/2 is a factor of f(x)=2x4x3+2x1.

Answer & Explanation

Jordan Mitchell

Jordan Mitchell

Beginner2021-12-07Added 31 answers

Step 1
If x-1/2 is a factor then the remainder when f(x) divided by it will be zero.
Put x12=0
x=12
Step 2
Substitute x=12 in f(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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