Question

write a quadratic equation whose zeroes are -5 and 2​

Answer 1

Answer:

here your answer

Step-by-step explanation:

Answer

The quadratic equation the with zeros and b of polynomial is given by :-

\({x^2} - x\left( {a + b} \right) + \left( {a \times b} \right) = 0\)

Here given zeros are 2 and -6

Sum of roots \(=2 - 6 = - 4\)

Product of roots \(=2 \times \left( { - 6} \right) = - 12\)

According to the quadratic equation,we are putting the values on the given equation

\({x^2} - x\left( { - 4} \right) + \left( { - 12} \right) = 0\)

Now the given equation will be

\({x^2} + 4x - 12 = 0\)