Mathematics, 14.11.2020 16:30 thesean87

Given that f (x)=x^2n-(p+1)x^2+p when n and p are positive integers. Show that (x-1) is a factor of f(x) for all values of p. When p = 4, (x-2) is a factor of f(x). Find n and
factorise f(x) completely. With the value of n obtained, find p so that f(x)+2x^2– 2 = 0
has distinct real roots.

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Given that f (x)=x^2n-(p+1)x^2+p when n and p are positive integers. Show that (x-1) is a factor of f(x) for all values of p. When p = 4, (x-2) is a factor of f(x). Find n and factorise f(x) completely. With the value of n obtained, find p so that f(x)+2x^2– 2 = 0 has distinct real roots.

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Given that f (x)=x^2n-(p+1)x^2+p when n and p are positive integers. Show that (x-1) is a factor of f(x) for all values of p. When p = 4, (x-2) is a factor of f(x). Find n and
factorise f(x) completely. With the value of n obtained, find p so that f(x)+2x^2– 2 = 0
has distinct real roots.