Advertisement Remove all ads

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

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

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

6x2 – 3 – 7x

Advertisement Remove all ads

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
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 10 Maths
Chapter 2 Polynomials
Exercise 2.2 | Q 1.3 | Page 33
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×