Question

Find all the zeros of polynomial 2x cube - 4 x minus x square + 2 if two of its zeros are root 2 and minus root 2​

Answer 1

Answer:

let the polynomial be p(x)

so by the given condition

p(x) = 2x3 -4x- x2+2

p(2) = 2×(2)3 - 4×2- (2)2+2

p(2)= 16-8-8-4+2

p(2)= 8-8-4+2

p(2) = 0-4+2

p(2)= -4+3 = -1

if we take -2 as polynomial , then we get

p(-2) = 2×(-2)3-4×(-2)-(-2)2++2

p(-2)= -16-(-8) -(-4) +2

p(-2)= -16+8+4+2

p(-2)= -8+8+4+2

p(-2)= 0+4+2

p(-2)= 6

Answer 2

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