Question

find the quadratic polynomial the sum and product areminus five and minus four​

Answer 1

Correct Question

Find a quadratic polynomial whose sum of zeros and product of zeros are -5 and -4 respectively

Solution

Let m and n be the zeros of the required polynomial

Implies,

m+n= -5 and mn= -4

Required Polynomial:

x²-(m+n)x+mn

=x²-(-5)x-4

=x²+5x-4

Answer 2

$\textbf{\underline{\underline{ANSWER:-}}}$

Let a and b be the zeros of the required polynomial

a+b= -5 and ab= -4

General form : x²-(a+b)x+ab

Substitute in this formula to get polynomial

=x²-(-5)x-4

=x²+5x-4