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xenn [34]
3 years ago
12

| Find the quadratic polynomial whose Sum and products of zeros are 21/8 and 5/16

Mathematics
1 answer:
tatuchka [14]3 years ago
8 0

Answer:

16x^{2} -42x+5

Step-by-step explanation:

Sum of its zeroes=\alpha +\beta =\frac{21}{8} \\

Product of its zeroes=\alpha \beta=\frac{5}{16}

Formula to form a quadratic polynomial:

p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ]

p(x)=k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}]

p(x)=16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}]

p(x)=[16x^{2} -42x+5]

The quadratic polyniomial is 16x^{2}-42x+5

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