Question

Write a quadratic polynomial whose sum and product of its zeroes are respectively 1 by 4 and -1

Answer 1

Answer:

4x²-x-4

Step-by-step explanation:

quadratic polynomial

=x²-(sums of zeros)x + product of zeros

=x²-1/4x + (-1)

=x²-x/4-1

taking L.C.M.,

4x²-x-4

= ------------

4

therfore the polynomial is

= 4x²-x-4

Answer 2

The required quadratic polynomial is $4x^2-x -4=0$

Step-by-step explanation:

Given : Sum and product of its zeroes are respectively 1 by 4 and -1.

To find : Write a quadratic polynomial ?

Solution :

The quadratic polynomial is in form,

$x^2-\text{(Sum of zeros)}x + \text{Product of zeros}=0$

We have given,

$\text{Sum of zeros}=\frac{1}{4}$

$\text{Product of zeros}=-1$

Substitute in general polynomial,

$x^2-\frac{1}{4}x +(-1)=0$

$4x^2-x -4=0$

Therefore, the required quadratic polynomial is $4x^2-x -4=0$

#Learn more

Write a quadratic polynomial whose sum and product of its zeroes respectively 1/4, 1/4 ?

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