Question

Find a quadratic polynomial whose sum and product of its zeros is -1/3 and 1/5 respectively

Answer 1

Answer:

In order to find the polynomial when the sum and product of zeroes are given we have to use the formula x^2-(α+β)x+αβ

where α+β is the sum of the zeroes

and αβ is the product of the zeroes

so

x^2-(-1/3)x +1/5

x^2+1/3x+1/5

hence the polynomial is x^2+1/3+1/5

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Answer 2

Answer:

15x² + 5x + 3

Step-by-step explanation:

let thr roots be a and b;

a+b=-1/3;(Given)

ab=1/5;(Given)

eqn can be written as x²-(Sum of roots)x+(pdt of the roots)

x²+(1/3)*x +1/5= 15x²+5x+3