Question

find the quadratic polynomail the sum of whose zeroes is-10 and product of its zeroes is-30​

Answer 1

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Answer 2

Answer: x² + 10x - 30

Step-by-step explanation:

Let the quadratic polynomial be p(x)= ax² + bx + c

Sum of zeroes = -b/a

-10 = -b/a                                         .....(Equation 1)

Product of zeroes = c/a

-30 = c/a                                          .....(Equation 2)

From Equations 1 and 2,

a = 1, b = 10, c = -30

So, the quadratic polynomial is p(x) = x² + 10x - 30