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Chapter: 10th Mathematics : Algebra

Finding the Square Root of a Polynomial by Division Method

The long division method in finding the square root of a polynomial is useful when the degree of the polynomial is higher.

Finding the Square Root of a Polynomial by Division Method

The long division method in finding the square root of a polynomial is useful when the degree of the polynomial is higher.

 

Example 3.21

Find the square root of 64x4 16x3 + 17x 2 − 2x + 1

Solution


Note

Before proceeding to find the square root of a polynomial, one has to ensure that the degrees of the variables are in descending or ascending order.

 

Example 3.22 Find the square root of the expression 

Solution


 

Example 3.23

If 9x4 + 12x3 + 28x2 + ax +b is a perfect square, find the values of a and b.

Solution


Because the given polynomial is a perfect square a − 16 = 0 , b − 16 = 0 Therefore a = 16 , b = 16 .

 

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