Question

find a quadratic polynomial whose sum of zeroes is -4/3 and the product is zero is 3

Answer 1

Hope this helps you

Answer 2

Answer:

3x² - 4x + 9 = 0

Step-by-step explanation:

We know that every Quadratic Equation is of form

k [ x² - ( sum of roots) x + (product of roots)], where k is any constant value

Now sum of roots = -4/3 and product of roots = 3

∴ Desired equation will be

k[ x² - (-4/3)x + 3] = 0

Let k = 3           [ LCM of denominators is 3]

3[x² - (4/3)x +3] = 0

3x² - 4x + 9 = 0

Desired Equation is 3x² - 4x + 9 = 0