Question

Q. No. 8. Write the sum and product of zeros of the polynomial x2 - 4x + 6.​

Answer 1

Answer:

write the sums and products of zeros of the polynomial X^2-4X+6

Step-by-step explanation:

Let α,β be the zeroes of the polynomial 7x

2+5x−2.

Then α,β be the roots of the quadratic equation 7x

2+5x−2=0.

Then from the relation between roots and co-efficients of quadratic equation we've,

α+β=− 7/5

and α.β=− 7/2

Answer 2

Given : Polynomial x^2-4x+6

To find : Write the sum and product of polynomial ?

Solution :

The given polynomial is a quadratic equation in form ax^2+bx+c=0

ax 2+bx+c=0 with roots α (alpha) and β (beta)

On comparing x^2-4x+6, a=1, b=-4 and c=6

The sum of the quadratic equation is given by,

alpha+beta= -b/a

alpha+beta= −(-4/1)

alpha+beta=4

The product of the quadratic equation is given by,

alpha/beta= c/a

alpha/beta= 6/1

alpha/beta=6

Therefore, the sum is 4 and product is 6 of the given polynomial.