CBSE Class 10-Mathematics: Chapter – 2 Polynomials Part 9 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 2:

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial.

(i) (ii) (iii)

Answer:

(i)

Remainder Hence first polynomial is a factor of second polynomial. (ii)

Remainder Hence first polynomial is a factor of second polynomial. (iii)

Remainder

Hence first polynomial is not factor of second polynomial.

Question 3:

Obtain all other zeroes of , if two of its zeroes are and - .

Answer:

Two zeroes of are and which means that is a factor of .

Applying Division Algorithm to find more factors we get:

We have .

Therefore, other two zeroes of are and .

Question 4:

On dividing by a polynomial , the quotient and remainder were and respectively. Find .

Answer:

Let

According to Polynomial Division Algorithm, we have

So, Dividing , we get

Therefore, we have