Question

How many zeroe of the polynomial 2x²-3x-4

Answer 1

Answer: 2 zeroes

Step-by-step explanation:  

1) First calculate the discriminant (usually denoted by 'd') using the formula     d=b^2-4*a*c for polynomial ax^2+bx+c.

2) For the given polynomial,by comparing the values for a,b and c,we get;

    a = 2, b= -3 , c= -4

3) Hence, d= (-3)^2 - 4*(2)*(-4) , d=41

Now(and always),

if d<0, the number of zeroes of the polynomial= 0

if d=0, the number of zeroes of the polynomial= 1

if d>0(our case), the number of zeroes of the polynomial= 2...

4) Hence,the total number of zeroes of the given polynomial =2..