Question

plz Ans this question of class 10

Answer 1

Answer:

Step-by-step explanation:

let alpha =x and beta =y

x+y=-b/a

x+y=-(-7)/2=7/2

y=7/2-x

xy=c/a

x(7/2-x)=5/2

7x/2-x^2=5/2

0=x^2 -7x/2+5/2

0=2x^2-7x+5

0=2x^2-5x-2x+5

0=2x(x-1)-5(x-1)

0=(2x-5)(x-1)

therefore, alpha=1 or 5/2

and beta=5/2 or 1

the polynomial is k(x^2+(alpha+beta)x +(alphabeta)

k(x^2+7x/2+5/2)

p(x)=4X^2 +14x+10