Question

The quadratic polynomial, the sum of whose zeroes is -5 and their product is 6

Answer 1

Answer: x^2 + 5x + 6

Step-by-step explanation:

let alpha and beta be the zeroes of p(x)

alpha + beta = -5 (given)

alpha.beta= 6 (given)

we know, to find a polynomial with given zeroes is , x^2-(alpha + beta)x + (alpha.beta)

therefore, the required polynomial = x^2 -(-5)x + 6

                                                          = x^2+5x+6

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