Question

obtain all the zeros of polynomial 2 x power 4 minus 5 x cube - 11 X square + 20 X + 12 when 2 and -2 are the two zeros of the above polynomial​

Answer 1

since,2 & -2 are the zeros of the given equation. (2x^4-5x^3-11x^2+20x+12)....eq.(1)

Therefore, (x-2)(x+2) is a factor of the given equation (1).

i.e. x^2-4 is a factor of the given equation.

dividing eq.(1) by x^2-4

we get 2x^2-5x-3 as quotient which when factorised will give the other two roots.

now, 2x^2-5x-3=0

=> (2x+1)(x-3)=0

=> x=-1/2 & 3.

Therefore,the other two Roots are -1/2 & 3.

Answer 2

Step-by-step explanation:

2 and -2 as zero

therefore (x-2)

therefore the other zero are -1/2and 3