CBSE Class 10-Mathematics: Chapter – 2 Polynomials Part 13 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 8:

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)

Answer:

(i)

Comparing the given polynomial with , we get

are the zeroes of

Now,

And

(ii)

Comparing the given polynomial with , we get

Now,

And

Question 9:

Find a cubic polynomial with the sum of the product of its zeroes taken two at a time and the product of its zeroes are respectively.

Answer:

Let the cubic polynomial be and its zeroes be and

Then

Here,

Hence, cubic polynomial will be