Question

Find the zeros of the polynomial 2x^2+5x-12 and verify the relationship between its zeros and coefficients.​

Answer 1

Answer:

Step-by-step explanation:

2x^2 +5x-12

2x^2 +(8x-3x)-12 = 2x^2 +8x-3x-12

by taking common ,

  2x (x+4) - 3 (x+4 )

(2x-3)(x+4) = 0

(2x-3)=0

x= 3/2

(x+4)=0

x= -4

so,

α=3/2

β= -4

(α+β)= -b/a

(3/2 + (-4) )= -5/2

by taking lcm ,

(3/2-4)=-5/2

(3-8/2) = -5/2

-5/2 = -5/2

(αβ)= c/a

(3/2 x (-4)=-12/ 2

-6 = -6

hope you understand ! if not plz ask me .