Question

x - p is a factor of x4 - p2x2 + 4x +p + 5. What is the value of p?

Answer 1

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Answer 2

Step-by-step explanation:

If x-p is a factor, then x-p=0

x=p

put value of x in the equation:-

${x}^{4} - {p}^{2} {x}^{2} + 4x + p + 5$

putting value of x we get

${p}^{4} - {p}^{2}( {p}^{2} ) + 4(p) + p + 5 = 0$

${p}^{4} - {p}^{4} + 4p + p + 5 = 0$

$5p + 5 = 0$

$5(p + 1) = 0$

$p + 1 = 0$

$p = - 1$