# CBSE Class 10-Mathematics: Chapter – 2 Polynomials Part 4 (For CBSE, ICSE, IAS, NET, NRA 2023)

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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