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4 years ago

Factor completely X⁴-10x²+9. Please show all work.

Mathematics

1 answer:

Tanya [424]4 years ago

3 0

Answer:

Let y=x² . Then:

x4−10x2+9=y2−10y+9

y²-10y+9=(y-9)(y-1)

Substitute x² for y:

x4−10x2+9=(x2−9)(x2−1)

x²-9=(x+3)(x-3)

x²-1=(x+1)(x-1)

x4−10x2+9=(x+3)(x−3)(x+1)(x−1)

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2 years ago

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Marat540 [252]

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3 years ago

Read 2 more answers

A swimming pool measures 35 feet wide by long. What is the ratio of the length to the perimeter in simpiest form

guapka [62]

<h3><u>Question:</u></h3>

A swimming pool measures 35 feet wide by 50 feet long. What is the ratio of the length to the perimeter

<h3><u>Answer:</u></h3>

The ratio of length to perimeter of pool is 5 : 17

<h3><u>Solution:</u></h3>

Given that, swimming pool measures 35 feet wide by 50 feet long

Therefore,

Length = 50 feet

Width = 35 feet

Swimming pool is usually of rectangular shape

<em><u>The perimeter of rectangle is given as:</u></em>

Perimeter = 2(length + width)

Perimeter = 2(50 + 35)

Perimeter = 2(85) = 170

Thus perimeter of pool is 170 feet

<em><u>Ratio of length to perimeter:</u></em>

$\frac{Length}{Perimeter } = \frac{50}{170}\\\\\frac{Length}{Perimeter } = \frac{5}{17}$

Thus ratio of length to perimeter of pool is 5 : 17

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3 years ago

Can anybody answer this question??

Mekhanik [1.2K]

The answer is A

as the x+ 4 is when we replace x with 0

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y=0+4

So the line of y must intersect at (0,4) coordinate

which is given as in A and should be a positive slope

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3 years ago

Factor completely X⁴-10x²+9. Please show all work.​

Factor completely X⁴-10x²+9. Please show all work.