Question

Write a quadratic polynomial whose zeroes are 3 and −5 and write a quadratic polynomial whose sum and product of the zeroes are −3 and 2 respectively

Answer 1

Answer:

1) x^2+2x-15

2) x^2+x-6

Answer 2

Answer:

(i) x²+2x-15=0

(ii) x²+x-6=0

Explanation:

(i) Sum of zeroes=3+(-5)=(-2)

 Product of zeroes=(3)(-5)=(-15)

Skeletal Quadratic Equation:-

x²-(sum of roots)x+(product of roots)=0

x²-(-2)x+(-15)=0

x²+2x-15=0

(ii) Sum of roots=(-3)+2=(-1)

   Product of roots=(-3)×(2)=(-6)

Skeletal Quadratic Equation:-

x²-(sum of roots)x+(product of roots)=0

x²-(-1)x+(-6)=0

x²+x-6=0