Question

POLYNOMIALS
EXERCISE 2.2
1. Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.

(i) 6x2 – 3 – 7x​

Answer 1

Step-by-step explanation:

6x2 - 7x - 3 ( in standard form )

3x (2x - 3 ) + 1 ( 2x - 3)

( 3x +1) ( 2x - 3) Are the two factors now

Finding zeros : 3x + 1 = 0

X = -1/3

Second zero : 2x - 3

X =3/2

Sum of zeros : a + b = (3/2 ) + (-1/3)

9+2/6 = -7/6 = b/a = - Coefficients of X/ Coefficient of x2

Product of Zeros : 3/2 × (-1/3)

= -3 /6 = C / a

Hence verified