Question

If 3 and -3 are two zeroes of the polynomial ( 4 + 3 − 11 2 − 9 +18), find all the zeroes of the given polynomial.
(a) 1, 2
(b) 1, -2
(c) -1, 2
(d) None of the above​

Answer 1

Answer:

Let f(x)=x  4  +x  3  −11x  2  −9x+18

Given : 3 and -3 are the zeroes of the polynomial (x+3) and (x−3) are factors of f(x), and consequently (x−3)(x+3)=(x  

2  −9) is factor of f(x)  

Divide f(x) by (x  2  −9) we get

Put f(x)=0

(x  ^2

+x−2)(x  2  −9)=0

(x−1)(x+2)(x−3)(x+3)=0

x=1 or x=−2 or x=3 or x=−3

hence all the zeros of the given polynomial are 1,−2,3 and −3.

Step-by-step explanation: