p(x)=6x²–11x+5,Find the zeros of the given quadratic polynomial.
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Solution :
Given p(x) = 6x² - 11x + 5
Let p(x) = 0
=> 6x² - 11x + 5 = 0
Splitting the middle term , we get
=> 6x² - 6x - 5x + 5 = 0
=> 6x( x - 1 ) - 5( x - 1 ) = 0
=> ( x - 1 )( 6x - 5 ) = 0
x -1 = 0 or 6x - 5 = 0
x = 1 or x = 5/6
Therefore ,
1 , 5/6 are two zeroes of given quadratic
polynomial p(x).
•••
Given p(x) = 6x² - 11x + 5
Let p(x) = 0
=> 6x² - 11x + 5 = 0
Splitting the middle term , we get
=> 6x² - 6x - 5x + 5 = 0
=> 6x( x - 1 ) - 5( x - 1 ) = 0
=> ( x - 1 )( 6x - 5 ) = 0
x -1 = 0 or 6x - 5 = 0
x = 1 or x = 5/6
Therefore ,
1 , 5/6 are two zeroes of given quadratic
polynomial p(x).
•••
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