Question

If three zeroes of a polynomial x4 +3x3-4x2-12x are 2 , 0 , -2 , then find the fourth zero.

Answer 1

your answer is in attachment


hope this helps you

Answer 2

Step-by-step explanation:

x

4

+3x

3

−20x

2

−6x+36

Two zeroes are

2

,−

2

∴(x−

2

)(x+

2

) are the factors of the polynomial

⇒x

2

−2 is a factor

∴ Quotient =x

2

+3x−18

To find other two factors

x

2

+3x−18=0⇒x

2

+6x−3x−18

⇒x(x+6)−3(x−6)

⇒(x+3)(x+6)=0

⇒x=3&−6