Question

write a rational expression whose numerator is a quadratic polynomial with zeroes 2and (-1) and whose denominator is quadratic polynomial with zeroes 1/2 and 3​

Answer 1

GIVEN :

A rational expression whose numerator is a quadratic polynomial with zeroes 2 and -1 and whose denominator is quadratic polynomial with zeroes $\frac{1}{2}$ and 3​

TO FIND :

The rational expression from the given zeroes

SOLUTION :

Given that a rational expression whose numerator is a quadratic polynomial with zeroes 2 and -1

For a quadratic equation $ax^2+bx+c=0$ with zeroes p and q then its factors can be written as (x-p) and (x-q)

The factors can be written as  (x-2) ,(x+1)

The denominator is quadratic polynomial with zeroes $\frac{1}{2}$ and 3​

For a quadratic equation $ax^2+bx+c=0$ with zeroes p and q then its factors can be written as (x-p) and (x-q)

The factors can be written as $(x-\frac{1}{2})$ ,(x-3)

Now the rational expression becomes

$\frac{(x-2)(x+1)}{(x-\frac{1}{2})(x-3)}$

∴ the rational expression from the given zeroes is $\frac{(x-2)(x+1)}{(x-\frac{1}{2})(x-3)}$

Answer 2

Answer:

x^2-5x+6/x+1

Step-by-step explanation:

i hope this answer will help you