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Check if x=-2 , x=-1 are the zeroes of the quadratic polynomials: (i) x^2-3x+2 (ii) x^2-3x-18
Asked by vanshars1234 | 12 Jun, 2019, 03:39: PM

# A real number a is a zero of a polynomial p(x), if p(a) = 0.

(i) x2 - 3x + 2

x = -2

p(-2) = (-2)2 - 3(-2) + 2 = 4 + 6 + 2 = 12

Since p(-2)  is not zero.

→ x = -2  is not a zero of the given quadratic polynomila.

x = -1

p(-1) = (-1)2 - 3(-1) + 2 = 1 + 3 + 2 = 6

Since p(-1)  is not zero.

→ x = -1  is not a zero of the given quadratic polynomila.
(ii) x2 - 3x - 18

x = -2

p(-2) = (-2)2 - 3(-2) - 18 = 4 + 6  - 18 = -8

Since p(-2)  is not zero.

→ x = -2  is not a zero of the given quadratic polynomila.

x = -1

p(-1) = (-1)2 - 3(-1) - 18 = 1 + 3 - 18  = - 14

Since p(-1)  is not zero.

→ x = -1  is not a zero of the given quadratic polynomila.

Answered by Yasmeen Khan | 12 Jun, 2019, 04:10: PM

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