2.1 Fundamentals of Polynomials

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Step 1

To check if a number is a zero, substitute it into the polynomial and check if the result is 0.

Step 2

For x=1x = -1: p(1)=(1)23(1)4=1+34=44=0p(-1) = (-1)^2 - 3(-1) - 4 = 1 + 3 - 4 = 4 - 4 = 0. Since result is 0, -1 is a zero.

Step 3

For x=4x = 4: p(4)=(4)23(4)4=16124=1616=0p(4) = (4)^2 - 3(4) - 4 = 16 - 12 - 4 = 16 - 16 = 0. Since result is 0, 4 is a zero.

Final Answer

Yes, both are zeroes.

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