Question

Find all the zeroes of the polynomial
P(x)=2x^4 -3x^3 - 3x^2 +6x -2 ,if two of its zeros are root2 and -root2​

Answer 1

Answer:

Step-by-step explanation:

Alpha + beta = 0

Alpha.beta = -2

By the quadratic eq formula

x²-alpha+beta x + alpha.beta

= x²-2

x²-2 divided by the given polynomial

U get 2x²-3x+1

By splitting the middle term u get

2x²-2x-x+1

2x(x-1)-1(x-1)

(2x-1) (x-1)

x= 1 x= 1/2