Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
6x2 – 3 – 7x
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Solution
6x2 - 3 - 7x = 6x2 - 7x - 3
=6x2 -9x + 2x -3
=3x(2x - 3) + 1(2x - 3)
=(2x - 3)(3x + 1)
=`2(x - 3/2)3(x+1/2)`
=`6(x - 3/2)(x+1/3)`
The zeroes of the polynomial are {3/2, -1/3}
Relationship between the zeroes and the coeffieicients of the polynomial
Also sum of the zeroes = `3/2 - 1/3=(9-2)/6 = 7/6`
Also product of the zeroes =`3/2 xx -1/3= -1/2`
Hence Verified
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