Question

Find a quadratic polynomial, the sum and product of whose zeroes is -3/2 and -5/4, respectively

Answer 1

the answer is given above

hope it helps

Answer 2

$\huge\mathfrak\red{Answer:}$

Polynomial:

• A Polynomial is an expression consisting of variables and constants

Given:

• Sum and product of zeros of a quadratic polynomial is ( -3/2 ) and ( -5/4 ) respectively

To Find:

• A quadratic polynomial whose sum and product of zeros be ( -3/2 ) and ( -5/4) respectively

Solution:

Let the zeros of Polynomial be A and B .

According to given question :

Sum of zeros = ( -3/2 )

A + B = ( -3/2 ) ------- ( 1 )

Product of zeros = ( -5/4 )

A.B = ( -5/4 ) -----------( 2 )

We know that

Quadratic Polynomial whose sum and product of zeros is given by :

=> K [ x^2 - ( A + B )x + ( A.B )] ----- ( 3 )

Where k is a non zero arbitrary constant

Using equation ( 1 ) and ( 2 ) in equation ( 3 )

=> K [ x^2 - ( - 3/2 )x + ( -5/4 ) ]

=> K [ x^2 + ( 3/2 )x - ( 5/4 )]

Hence Above is the required Quadratic Polynomial.