Question

Write the sum and product of polynomial x2-4x+6 ?

Answer 1

Sum of zeroes = -b/a

= -4

Product of zeroes = c/a

= 6

Answer 2

The sum is 4 and product is 6 of the given polynomial.

Step-by-step explanation:

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 $ax^2+bx+c=0$ with roots $\alpha$ and $\beta$

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

The sum of the quadratic equation is given by,

$\alpha+\beta=-\frac{b}{a}$

$\alpha+\beta=-\frac{-4}{1}$

$\alpha+\beta=4$

The product of the quadratic equation is given by,

$\alpha\beta=\frac{c}{a}$

$\alpha\beta=\frac{6}{1}$

$\alpha\beta=6$

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

#Learn more

Write the sum and product of the zeroes of polynomial x3 -4x

https://brainly.in/question/143396