Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case:

Question

Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case: (i) (ii)

Philoid · Accepted Answer

(i) P(x) =

Now for zeroes, putting the given values in x.

P

P(1) =

P(-2) =

Thus,

Comparing given polynomial with

=

Now,

=

Thus ,

(ii) p(x) =

Now for zeroes , put the given value in x.

P(2) = =

P(1) =

Thus, 2, 1 , 1 are the zeroes of the given polynomial.

Now,

Comparing the given polynomial with

=

= 4 = 4

=

= 5 = 5

αβγ =

= 2×1×1 = 2

= 2 =2

Thus,

Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case:(i) (ii)

Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case:
(i)

(ii)