Question

show that p(x)=2x^2 -5x+2 has two zeros.

Answer 1

Answer:

p(x) =2x^2-5x+2

x=1/2 , 4

p(0) = 2×0-5×0+2

= 2

Answer 2

Answer:

Zeroes of the polynomial are -1/2 and 2

Step-by-step explanation:

p(x)=2x²-5x+2

p(x)=0

2x²-5x+2=0

2x²-4x-x+2=0

2x(x-2)-1(x-2)=0

(2x-1)(x-2)=0

x=-1/2 and x=2

Zeroes of the polynomial are -1/2 and 2

Sum of zeroes=2-1/2=3/2=-b/a

Product of zeroes=-1=c/a

Relation between zeroes and coefficients is verified