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adell [148]
3 years ago
10

Show all work to factor x4 − 10x2 + 9 completely.

Mathematics
2 answers:
AlekseyPX3 years ago
8 0

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a² - b² =(a+b)(a−b)  where a=x and  b=3.

(x+3)(x-3)(x+1)(x-1)

leva [86]3 years ago
6 0

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2   - x^2+9

match coefficients in both groups

= x^4 -9x^2   - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

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Answer:

chromium (Cr)

Step-by-step explanation:

6 0
3 years ago
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What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?
Gala2k [10]
(7,-8)(-4,6)
slope = 6 - (-8) / (-4 - 7) = (6 + 8) / -11 = -14/11

point slope : y - y1= m(x - x1)
(-4,6)...x1 = -4 and y1 = 6
now we sub
y - 6 = -14/11(x - (-4) =
y - 6 = -14/11(x + 4) <===
5 0
2 years ago
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Determine the indicated side length of the golden rectangle. round your answer to the nearest hundreth....
docker41 [41]
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4 0
3 years ago
What is the equation of a line passing through the point (a, b) and having a slope of b?
andreev551 [17]
The equation of a line that passes thruogh the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)

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3 0
3 years ago
Can any of you guys help my cousin with her homework its very confusing to me I'm not very good at math so please help her she g
dangina [55]
Simplify 5/15: the numerator and denominator are both multiples of 5, so the fraction can be reduced to 1/3 by dividing the top & bottom by 5. 5/15 of a rectangle is the same as 1/3 of a rectangle.

Compare 1/2 and 5/7:
The simplest way is to ask if 5/7 is more than one half. Half of 7 is 3.5, and 5 is greater than 3.5, so 1/2 < 5/7.
The way that is a little more work is to get a common denominator and make equivalent fractions of 7/14 and 10/14.

Fraction to decimal of 4/5. 4 divided by 5 = 0.8

Decimal to fraction, 0.78:
0.78 = 78 hundredths = 78/100 as a fraction. They usually want fractions in the lowest terms, so divide the numerator and denominator by two, and you have 39/50.

Mixed to improper fraction 5 2/9: multiply the denominator of 9 times the whole number of 5, that equals 45. Add the 2 in the numerator, that is 47. Keep that over 9, because we are trying to figure out how many ninths we have. 5 2/9 = 47/9

Add ‘em 3/5 + 1/2:
Make equivalent fractions with a common denominator. (10 is the least/lowest common denominator). So we are adding 6/10 + 5/10 = 11/10 or 1 1/10.

Improper to mixed, 9/4:
We have 9 fourths. 4 fourths = 1 whole. So we get 2 wholes with 1/4 left over. 9/4 = 2 1/4.

Subtract ‘em, 3/10 - 1/5.
Again, need a common denominator/equivalent fraction. 1/5 = 2/10
3/10 - 2/10 = 1/10

Draw it, 1/3:
The circle is already divided into thirds. Shade one of them in.

Multiply ‘em 2/3 x 5:
Multiply the numerator times the whole number, leave the denominator alone. 2/3 x 5 = 10/3 = 3 1/3 if they want it converted to a mixed number.

Divide ‘em: 8/9 divided by 3 is 8/27

What’s the word?
4 x 1/2 = 2 (what is one half of 4?)

Word up:
3/5 divided by 3 = 1/5

Your grade? 14/14 = 100%

Please let me know if you have questions. Please mark brainliest if you can :) Thank you!
4 0
3 years ago
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