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Root of a polynomial functions: word problems

Determine whether x=3x=3 is a root of P(x)=2x2+8x42P(x)=2x^2+8x-42

Determine whether x=1x=-1 is a root of P(x)=6x2x2P(x)=6x^2-x-2

Determine whether x=12x=\frac{1}{2} is a root of 4x217x+154x^2-17x+15

Determine whether x = 3 is a root of P(x)=x3+2x24x8P(x)=x^3+2x^2-4x-8

Determine whether x=1x=-1  is a root of  P(x)=x2+2x+1P(x)=x^2+2x+1

Determine whether x = -1 is a root ofP(x)=x29x10P(x)=x^2-9x-10

Determine whether x=4x=4 is a root of 2x46x34x+122x^4-6x^3-4x+12

Determine whether x=12x=\frac{1}{2} is a root of x3x2x2x^3-x^2-x-2 

Determine whether x=1x=1  is a root of P(x)=x3x2+4x4P(x)=x^3-x^2+4x-4

Determine whether x=3x=3 is a root of P(x)=4x217x+15P(x)=4x^2-17x+15