Question

if a and b are the zeroes of 2x^2+5(x-2). thenfind the product of a and b.​

Answer 1

Step-by-step explanation:

Given:-

a and b are the zeroes of 2x^2+5(x-2).

To find:-

Find the product of a and b.?

Solution:-

Given quadratic polynomial = 2X^2+5(X-2)

It can be written as 2X^2+5X -10

On Comparing this Polynomial with the standard quadratic polynomial ax^2+bx+c

a = 2

b = 5

c= -10

If a and b are the zeroes of the quadratic polynomial then

Product of the zeroes = c/a

=>a×b = -10/2

=>ab = -5

Answer:-

The product of the Zeroes a and b is -5

Used formulae:-

• The standard form of a quadratic polynomial is ax^2+bx+c
• The sum of the zeores = -b/a
• The product of the zeores = c/a