CBSE Class 10-Mathematics: Chapter –2 Polynomials Part 9
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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 areand - .
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