Question

Topic : Polynomials

EXERCISE 2.2

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

(iii) 6x²-7x-3

(iv) 4u² + 8u


_____________________

$\sf\pink{Don't \: \: spam!!}$



​

Answer 1

Answer:

Here, a = 6, b = -7 and c = -3

We have,

= 3x(2x−3)+1(2x−3) = (2x−3)(3x+1)

Equating this equal to 0 will find values of 2 zeroes of this polynomial.

⇒ (2x−3)(3x+1) = 0

⇒ x =

Therefore, two zeroes of this polynomial are

Sum of zeroes =

Product of Zeroes =

(iv)

Here, a = 4, b = 8 and c = 0

Equating this equal to 0 will find values of 2 zeroes of this polynomial.

⇒ 4u(u+2) = 0

⇒ u = 0,−2

Therefore, two zeroes of this polynomial are 0, −2

Sum of zeroes = 0−2 = −2

= =

Product of Zeroes = 0

Answer 2

${ \huge\rm \pink {♡H}\rm \blue {A} \rm \purple {N}\ \rm \green{J} \rm\red {U}\ \rm \orange {H} \rm{U} \rm \gray{I♡}}$