Question

Obtain all other zeroes of the polynomial x⁴+4x³-2x²-20x-15 if two of its zeroes are √5 and -√5.

Answer 1

Answer:

given zeros x= _/5 and x= -_/5

=》 x- _/5 and x+ _/5 are factors of the polynomial.

so (x- _/5)(x+ _/5)= x^2-5 is also a factor of polynomial. Now divide the polynomial by x^2-5 the primefactorize the quotient. Values obtained are the other 2 zeros.