Question

the sum and product of the zeros of a quadratic polynomial are 3 and minus 10 respectively the quadratic polynomial is

please answer​

Answer 1

Answer:

sum of zeroes(S)= 3/1=-b/a

product of zeroes(P)= -10/1=c/a

We know that,

$x ^{2} + sx - p = o \\ x ^{2} - 3x + 10 = 0$

Hence,

$x ^{2} - 3x + 10 \: is \: the \: required \: polynomial$

Answer 2

Concept introduction:

Quadratic polynomial is a 2nd degree polynomial and equations related to the identifications of the quadratic polynomial is quadratic equation. It is also considered as a polynomial function in which the greatest degree of the side is second degree.

Given:

We have been given the sum and products of the zeros of a quadratic polynomial along with their values.

To find:

We have to find the quadratic polynomial as per the provided numeric values.

Solution:

According to the question,

sum of zeros - 3

Product of zeros - -10

Let, sum of zero is S.

Therefore, S = 3/1

Let, product of zeros is P

Therefore, P = -10/1

As we know that:

x^2+sx-p = 0

or, x^2-3x+10=0

Final answer:

The quadratic polynomial is x^2-3x+10

#SPJ2