Question

Verify the - 1, 2, 3 are the zeroes of the cubic polynomial x3-4x2+x+6 and check the relationship between zeroes and the coefficients.​

Answer 1

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Answer 2

Answer:

zero as -1 for the polynomial

= (-1) ^3 - 4 (-1)^2 + (-1) + 6

= -1 - 4 -1 + 6

= 0

zero as 2 for the polynomial

= (2) ^3 - 4 (2)^2 + (2) + 6

= 8 - 16 + 2 + 6

= 0

zero as 3 for the polynomial

= (3) ^3 - 4 (3)^2 + (3) + 6

= 27 - 36 + 3 + 6

= 0

relationship between zeros and Co efficient

α + β + Gama = -b / a = 4 / 1

αβ + βGama + gamaα = c / a = 1 / 1

αβGama = -d / a = 6 / 1

hope it helps