Question

find the zeros of the quadratic polynomial is P of x is equal to x square minus 4 and find the sum of products of the zeros and verify relationship to the quotient of terms in the polynomial​

Answer 1

Answer:

• P(x) =x²-4
• we have learnt that a²-b²=(a+b) (a-b)
• so P(x) =(x) ²+(2)²
• P(x) =(x+2)(x-2)
• 0=(x+2)(x-2)
• ±2=x

here a=1 ,b=0(since there is no x term..but there is x²term) and c=4

so alpha + beta=

$\frac{ - b}{a}$

so alpha +beta =0/4=0

and alpha.beta=c/a

so alpha.beta=-4/1=-4

hence verified