Question

Find the zeroes of the polynomial x2-5x-6 find the relationship between the coefficient and the zeroes of the polynomial

Answer 1

Step-by-step explanation:

given,

polynomial = x²-5x-6

zeroes of the polynomial =( -b±√b²-4ac)/2a

x = ((-(-5)±√(-5)²-4(1)(-6)))/2

x =( 5±7)/2

so x is 6,-1

relation of zeroes and coefficients=?

sum of roots= - b/a

6+(-1)= -(-5)/1

5=5

product of zeroes= c/a

(6)(-1)= -6/1

-6=-6

so proved and verified