Question

Verify that 1, -1 and 3 are the zeroes of the cubic polynomial x° + 3x - x - 3 and
check the relationship between zeroes and the coefficients.​

Answer 1

Answer:

Let p(x)=x

3+3x 2−x−3

p(1)=(1)

3+3(1) 2−1−3=0

p(−1)=(−1)

3+3(−1) 2+1−3=0

p(−3)=(−3)

3+3(−3) 2+3−3=0

Hence, 1,−1 and −3 are the zeroes of the given polynomial.

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