Question

If (x+1) is factor of polynomial
P(x) = x^4 + (3 alpha + 1) x^3 + ( 4 - 5 alpha ) x^2 + ( 6 alpha -1) x+4

Answer 1

Answer:

alpha=9/14

Explanation:

P(-1)=(-1)^4+(3alpha+1)(-1)^3+(4-5alpha)(-1)^2+(6alpha-1)(-1) +4

=1-3alpha-1+4-5aplha-6alpha+1+4=0

=-3alpha+9-5alpha-6alpha=0

=-3alpha+9-11alpha=0

=-14alpha+9=0

=9=14alpha

=9/14=alpha

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