Question

Find a quadratic polynomial , the sum and product of whose
zeroes are root 2 and -3/2 respectively . find its zeroes

Answer 1

Sum of zeroes = √2

Product of zeroes = -

$\frac{3}{2}$

The quadratic polynomial is of the form,

=> x² - (sum of zeroes)x + (product of zeroes)

=> x² - (√2)x + (-3/2)

=> x² - √2x - 3/2

the required polynomial is

x² - √2x - 3/2

Answer 2

Step-by-step explanation:

→Sum of zeroes = √2

→Product of zeroes = - $\frac{3}{2}$

The quadratic polynomial is of the form,

→ x² - (sum of zeroes)x + (product of zeroes)

→ x² - (√2)x + (-3/2)

→ x² - √2x - 3/2

The required polynomial is

→ x² - √2x - 3/2