Question

A quadratic polynomial whoes zeroes are -4and-5 is

Answer 1

Note:

I have taken :

Alpha=a

Beeta=b

Let a and b be the roots of a quadratic equation.

Given:

-4 and -5 are the roots of a quadratic equation.

To Find:

Quadratic Polynomial=?

Solution:

Let, a=-4

b=-5

So,

Sum of the roots → a+b

→ -4+(-5)

→ -4-5

→ -9....... (1)

Product of the roots→ab

→ -4×-5

→ 20.......(2)

Therefore, The required quadratic equation:

x²-(a+b) x+ab=0 ....... (Formula)

Now, By Substituting the values

x²+9+20=0.... (Required quadratic equation)