find the zeros of the following polynomials and verify relationship between the zeros x2-3
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Answer:
Zeroes are √3 & -√3.
Step-by-step explanation:
x²-3 = 0
x²-(√3)²= 0
by using Identity, a²-b²= (a-b)(a+b)
(x-√3)(x+√3)= 0
x-√3 = 0 or x+√3 = 0
x= √3 or x= -√3
a= 1, b= 0, c= -3
Actual method,
Sum of the zeroes= √3+(-√3) = 0
Product of the zeroes= √3×(-√3)= -3
Formula method,
Sum of the zeroes= -b/a= -0/1= 0
Product of the zeroes= c/a= -3/1 = -3
Hence verified.
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