Question

2 Find a quadratic polynomial each with the given numbers as the sumn and product of its
zeroes respectively

(iii) 0,5
(iv) 1,1
(vi) 4,1
solve it in detail​

Answer 1

Answer:

(i) x² - 5

(ii) x² + x - 1

(iii) x² + 4x - 1

Step-by-step explanation:

(i) formula for polynomial = k[ x² + (sum of zeroes)x - product of zeroes ]

       ⇒ k [ x² + 0 × x - 5 ]

       ⇒ k [ x² - 5 ]

(ii) formula for polynomial = k[ x² + (sum of zeroes)x - product of zeroes ]

       ⇒ k [ x² + 1 × x  - 1]

       ⇒ k [ x² + x - 1 ]

(iii) formula for polynomial = k[ x² + (sum of zeroes)x - product of zeroes ]

       ⇒ k [ x² + 4 × x  - 1]

       ⇒ k [ x² + 4x - 1 ]

Answer 2

Answer:

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