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

| Find the quadratic polynomial whose Sum and products

nikitakhrabkov123

31.01.2022

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

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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yessy73

20.03.2021

a:30 b:70 c:80

Step-by-step explanation:

triangle= 180*

3:7:8= 180*

7+3+8= 18

180/18= 10

a= 3x10= 30*

b=7x10= 70*

c=8x10= 80*

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