Question

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3
Find a quadratic polynomial whose zeroes are and 3/5and -1/5​

Answer 1

Answer:

let alpha = 3/5 and beta =-1/5

alpha + beta = 3/5+(-1/5)=2/5

alpha * beta =3/5*-1/5=-3/5

x²-(alpha + beta)x + alpha*beta

x²-2/5x+3/5

Answer 2

Step-by-step explanation:

Given, zeroes are 3/5 & -1/5

Sum of Zeroes= 3/5 + (-1/5)

= 2/5

Product of Zeroes= 3/5 × (-1/5)

= -3/5

The reqd. quadratic equation

${x}^{2} - \frac{2}{5} x - \frac{3}{5}$