Question

Find quadratic polynomial whose zeroes are -4,-5

Answer 1

Basically any quadratic equation can be expressed in the form of (see the pic) where

$\alpha \: and \: \beta$

are the roots of the equation.

So

Answer 2

The quadratic polynomial is $x^2+9x+20= 0$

Step-by-step explanation:

To find : Quadratic polynomial whose zeroes are -4,-5 ?

Solution :

If $\alpha$ and $\beta$ are the zeroes of a quadratic equation,

Then the quadratic polynomial can be written as

$x^2-x(\alpha+\beta )+\alpha\beta = 0$

According to question, $\alpha =-4,\beta =-5$

Substitute the values,

$x^2-x(-4-5)+(-4)(-5)= 0$

$x^2-x(-9)+20= 0$

$x^2+9x+20= 0$

Therefore, the quadratic polynomial is $x^2+9x+20= 0$

#Learn more

From a quadratic polynomial whose zeroes are 5 and-5

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