CBSE Class 10 Answered
if the zeroes of the polynomial p ( x) are a-b ,a and a+b ,find a and b
Asked by deepita0 | 16 May, 2009, 11:49: AM
Expert Answer
a-b, a+b and a are the roots of the polynomial
Sum of the roots of a cubic polynomial = -(coefficient of x2 )/(coefficient of x3)
a-b + a+b+ a = 3
3a = 3
a =1
Product of the roots of a cubic polynomial = (constant term )/(coefficient of x3)
(a-b)(a+b)a = 1
(1-b2) = 1
b = 0
Also, (a-b)a + (a+b)a + (a-b)(a+b) =- (coefficient of x )/(coefficient of x3)
(a-b)a + (a+b)a + (a-b)(a+b) = -1
1-b + 1+ b + 1 - b2 = -1
- b2 = -4
b = +2, -2
Answered by | 16 May, 2009, 03:35: PM
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