Question

Q2. Find the value of ‘a1’ so that the sum of the zeroes of the polynomial x2 + (2a1) x – a1 – 2 is equal to the product of its zeroes.


help me ​

Answer 1

Given :  Sum of  zeroes of the polynomial x² + (2a₁) x – a₁ – 2 is equal to the product of its zeroes.

To Find : Values of a₁

Solution:

polynomial x² + (2a₁) x – a₁ – 2

Sum of zeroes  =  -2a₁ / 1

Product of Zeroes =  (-a₁ – 2 )/1

Sum of zeroes  =  Product of Zeroes

=>  (-a₁ – 2 )/1 =   -2a₁ / 1

=>   -a₁ – 2 = -2a₁

=> a₁  = 2

x² + (2a₁) x – a₁ – 2

=> x²  + 4x  - 4  

Sum of zeroes = product of zeroes =  - 4

Learn More:

33.If two zeroes of polynomial P(x) = 2x4 + 10x3 + 5x2 – 35x – 42 are

brainly.in/question/14933868

ABCD is a cyclic quadrilateral. AB is produced to E. It is given that ...

brainly.in/question/15399713

in the figure ABCD is a cyclic quadrilateral the tangents at the points ...

brainly.in/question/13340209