Question

Find the quadratic polynomial whose sum and product zeroes are -8/3,4/3

Answer 1

Step-by-step explanation:

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

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Answer 2

Answer:

Step-by-step explanation:

Sum of zeroes =-8/3

Product of zero =4/3

Quadratic equation:

x^2 +8/3x + 4/3