Question

If 3 and -3 are two zeroes of the polynomial p(x)=x^4
+x^3-11x^-9x,+18 then find the remaining two zeroes of the polynomial

Answer 1

Answer:

A/q

(x-3)and (×+3) are the factor of given polynomial

then

(×^2-9) is also a factor of given polynomial

by long division method

we get quotient as ×^2 +×-2

by factorizing

×^2+2×-×-2

(×^2+2×) -(×+2)

×(×+2)-1(×+2)

(×+2) (×-1)

:×=-2 or 1

Hence remaining zeroes be -2 and 1 ans..