Question

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

Answer 1

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 $16x^{2}-42x+5$