Question

Write the polynomial, the product and sum of whose zeroes are
-9/2 and -3/2 respectively

Answer 1

GIVEN :

Product of Zeroes = -9/2

Sum of zeroes = -3/2

We know that,

Sum of zeroes using co-efficient = -b/a

Product of zeroes using co-efficient =c/a

Quadratic Equation = x² - (sum of zeroes)x + product of zeroes

= x² - (-3/2)x + (-9/2)

After LCM,

= 2x² + 3x - 9

Therefore, the Quadratic equation is 2x² + 3x - 9.

Answer 2

Answer:

product of zeros =-9/2

sum of zeros = -3/2

sum of zeros using Coefficient =b /a

product of zeros using coefficients =c/a

Quadratic equation =x2 - ( sum of zeros) ×+(and product of zeros )

x2-(-9/2)x+(-3/2)

After LCM :

2x2+9x-3

So answer is 2x2+9x-3 .

Thanks .