Question

Find the
quadratic
polynomial whose
sum
of zeroes is - 5 and their product
is 6 Hence
I find
the
Zero of the
polynomials​

Answer 1

Answer:

alpha + beta = -5

alpha × beta = 6

as we know the formula.....

x^2 - (alpha + beta) x + (alpha × beta)

x^2 + 5x + 6 is the required quadratic polynomial..... hope it helps you

Answer 2

Answer

Let 'p' and 'q' be the zeroes (instead of alpha and beta)

Then,

A quadratic polynomial is given as:

x² + (p+q)x + p×q

= x² + (-5)x + 6

= x² -5x + 6

Now,

(To find zeroes ,)

Middle term split

x² - 5x + 6

= x² -2x -3x +6

= x(x -2) - 3(x-2)

= (x-2) (x-3)

x = 2 or, x = 3

Hence, the polynomial is x²-5x+6

And the zeroes are 2 and 3.

Ans.