CBSE Class 10-Mathematics: Chapter –2 Polynomials Part 12

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Question 7:

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Answer:

(i)

Let quadratic polynomial be

Let and are two zeroes of above quadratic polynomial.

Quadratic polynomial which satisfies above conditions

(ii)

Let quadratic polynomial be

Let and be two zeros of above quadratic polynomial.

Which is equal to

Quadratic polynomial which satisfies above conditions

(iii)

Let quadratic polynomial be

Let and be two zeros of above quadratic polynomial.

Quadratic polynomial which satisfies above conditions

(iv)

Let quadratic polynomial be

Let and be two zeros of above quadratic polynomial.

Quadratic polynomial which satisfies above conditions

(v)

Let quadratic polynomial be

Let and be two zeros of above quadratic polynomial.

Quadratic polynomial which satisfies above conditions

(vi)

Let quadratic polynomial be

Let and be two zeros of above quadratic polynomial.

Quadratic polynomial which satisfies above conditions