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Ipatiy [6.2K]
3 years ago
10

Factor the expression x^4 -1 using the polynomial identify x^2-y^2)=(x-y)(x+y)

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

(x - 1)(x + 1)(x² + 1)

Step-by-step explanation:

Step 1: Factor Difference of Squares

(x² - 1)(x² + 1)

Step 2: Factor Difference of Squares for non-complex binomial root

(x - 1)(x + 1)(x² + 1)

And we have our answer!

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Write the equation of a line perpendicular to 5x - 7y =-6 that passes through the point (-5,6)
Likurg_2 [28]

9514 1404 393

Answer:

  7x +5y = -5

Step-by-step explanation:

You can find the perpendicular line by swapping the x- and y-coefficients, and negating one of them. The new constant can be found by using the given point.

  7x +5y = 7(-5) +5(6) = -5

The perpendicular line through (-5, 6) is ...

  7x +5y = -5

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3 years ago
At 2 pm on Tuesday, the temperature was -12 degrees. By 6 pm the temperature had dropped to -20 degrees. What was the average ch
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a

Step-by-step explanation:

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3 years ago
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7 0
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

7 0
3 years ago
Tessa has $42 to spend at the county fair. Her admission
Semenov [28]

Answer

g is less than or equal to 34.50

Step-by-step explanation:

$42-$7.50=$34.50

7 0
3 years ago
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