Question

if a and b are the zeroes of a quadratic polynomial , then quadratic polynomial will =


1 marks

Answer 1

Answer:

Step-by-step explanation:

For any polynomial ax² + bx + c = 0 with zeros as α & β we have following conditions:

α + β = - b / a

α * β = c / a

Now for a = 1, we get b = - (α + β) and c = α * β

In your question α = a and β = b, thus the polynomial will be

1x² - (a + b)x + a * b = 0

Answer 2

Answer:

For any polynomial ax² + bx+c=0 with zeros as a & ß we have following conditions:

a + ß = -b/a

a* ß = c/a

Now for a = 1, we get b = - - (a + ß) and c = a* ß

In your question a = a and B = b, thus the polynomial will be

1x² - (a + b)x + a *b = 0