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Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 6x2 – 3 – 7x - Mathematics

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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APPEARS IN

NCERT Class 10 Maths
Chapter 2 Polynomials
Exercise 2.2 | Q 1.3 | Page 33
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