# 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