Polynomial factoring: 1-3x+4x^3

zamenjenot7k

zamenjenot7k

Answered question

2022-04-30

Polynomial factoring:
13x+4x3

Answer & Explanation

Draidayerabauu

Draidayerabauu

Beginner2022-05-01Added 9 answers

By observation f(x)=4x33x+1 has 1 as a zero.
From this, we see that f(x)=(x+1)(4x2+kx+1) for some k. Solving for k by equating coefficients gives k=4, so that
f(x)=(x+1)(4x2+4x+1)=(x+1)(2x1)2
This then gives us the fact that 12 is a double zero.

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