Someone Help! PLEASE!

Mathematics

1 answer:

givi [52]3 years ago

5 0

Answer:

The lowest score could be 85

Step-by-step explanation:

Let the lowest score = x

(x + 89 + 92 + 94)/4 = 90 Add the 3 scores you know

(x + 275)/4 = 90 Multiply both sides by 4

(x + 275) = 360 Remove the brackets.

x + 275 = 360 Subtract 275

x = 360 - 275

x = 85

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Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6

horsena [70]

Answer:

$x^{4} -18x^{3}+104x^{2} -172x-100$

Step-by-step explanation:

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$\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))( x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\$