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

Sum

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

6x2 – 3 – 7x

#### 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+1/3)

=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

Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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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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