What is the discriminant of the polynomial below 2x^2+4x-9

Discriminant = 88

Step-by-step explanation:

The general form of quadratic polynomial is:

P(x) = ax² + bx + c ⇒ a is the coefficient of x² , b is the coefficient

of x and c is the numerical term

∵ The discriminant of P(x) = ax² + bx + c is b² - 4ac

∵ P(x) = 2x² + 4x - 9

∴ a = 2 , b = 4 , c = -9

∴ Discriminant = (4)² - 4(2)(-9) = 16 + 72 = 88

dhdhth

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.