Question

write the quadratic polynomial whose
Sum
Sum of zeroes is – 3 and sum
of the
the Squares of zeroes is 17
​

Answer 1

Step-by-step explanation:

sum= -3

a+b= -3

a^2+b^2=17

(a+b)^2-2ab=17

(-3)^2-2ab=17

9-2ab=17

-2ab=17-9

-2ab=8

ab=8/-2

ab= -4

product=-4

p(X)=x^2-(a+b)X+ab

p(X)=x^2-(-3)X+(-4)

p(X)=x^2+3x-4