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CBSE Class 10 Answered

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, 15:39: PM
answered-by-expert Expert Answer
 

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, 16:10: PM

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