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Debora [2.8K]
3 years ago
11

Is (x-4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.

Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

(x-4) is not a factor of f(x)=x³-2x²+5x+1

Step-by-step explanation:

Uding the remainder theorem,(x-4) is a factor if the remainder is 0

Plug in x=4

(4)³-2(4)²+5(4)+1

64-32+20+1

64-53

11

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Please help soon! Thanks! Solve for x
spin [16.1K]

Answer:

x=27\degree

Step-by-step explanation:

\because AC || DE.... (given)

\therefore m\angle CAD= m\angle EDF\\ (corresponding \: \angle s)

\therefore m\angle BAD= m\angle EDF\\(\because B\in \overleftrightarrow{AC})

\therefore m\angle BAD= 2x\\(\because m\angle EDF=2x)

In\:\triangle BAD,

m\angle BAD+m\angle BDA+m\angle ABD= 180\degree

2x+2x+72\degree = 180\degree

4x= 180\degree -72\degree

4x= 108\degree

x= \frac {108\degree}{4}

x=27\degree

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Step-by-step explanation:

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