Question

Q2.form a quadratic equation whose sum of zeroes and product of zeroes
are(3,0)respectively.
​

Answer 1

Answer:

x ^ 2 - 3x

Step-by-step explanation:

The equation for the sum of zeroes of a quadratic equation ax^2+bx+c = -b/a and the product of the roots is c/a

The product of the roots allows us to find that c = 0, so there is no third constant term. The sum equation gets us to a = -b/3

The end answer, fully simplified would be x^2-3x

If you check this, the roots are 3 and 0. The sum is 3 and the product is 0 (ZPP)

You can do this a different way, by finding two numbers that when added together add up to three and when multiplied have a product of 0. However, this method is inefficient and unreliable when solving larger equations or when there is a third term.

So our final answer is x^2-3x, but an acceptable and factually accurate answer could be any number multiplied by this equation.

Hope this helps!