Question

Find the quadratic polynomial, whose sum and product of zeroes are 21/8 and 5/16 respectively.​

Answer 1

Answer:

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Step-by-step explanation:

Hey there !

The zeroes be α and ß

Sum of zeroes = α + β =  21/8

Product of zeroes = αβ =  5/16

The required quadratic polynomial is

k {x² - (α+ß)x + aß}

k {x² - (21/8)x+5/16}

k {x²-42x/16 + 5/16}

here ,  

k = 16

16{x²-42x/16 + 5/16}

16x² - 42x + 5                  ----> required polynomial