Help!!

Let P(x) = x² + bx + c where b and c are integer. If P(x) is a factor of both x⁴ + 6x² + 25 and 3x⁴ + 4x² +28x +5 , find the value of P(1).

1 Answers

if P is a facator of Q and R,

obviously, P is a factor of nQ-mR for all integers n and M

Here

P is a factor of (3x⁴+4x²+28x+5) - 3(x⁴+6x²+25)

P is a factor of -14x²+28x-70

Since the coeff of x^2 is 1

so P is x²-2x+5

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