CBSE Class 10-Mathematics: Chapter –2 Polynomials Part 4

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Question 6:

If and are the zeros of the quadratic polynomial , show that .

Answer:

Now

Question 7:

If the sum of the zeros of the quadratic polynomial is equal to their product, find the value of .

Answer:

Sum of the zeros Product of the zeros

Question 8:

Divide .

Answer:

Quotient

Remainder

Question 9:

Find the zeros of the polynomial and verify the relationship between the zeros and its coefficients.

Answer:

Zeros are

Question 10:

Find the value of so that the zeros of the quadratic polynomial are in the ratio .

Answer:

Let the zeros are and .

And

Question 11:

If one zero of the quadratic polynomial is negative of the other, find the value of .

Answer:

, if one zero is then other is