MATHEMATICS HIGH SCHOOL

Use synthetic division to solve (x^4 – 1) ÷ (x – 1). What is the quotienta. x^3-x^2+x-1
b. x^3
c.x^3+x^2+x+1
d. x^3-2

Answers

Answer 1
Answer:

Answer:

Option C.

Step-by-step explanation:

We have to solve (x^(4)-1 )/(x-1) by synthetic division and tell the quotient.

First we will write the numerator in the standard form as ax^(4)+bx^(3)+cx^(2)+dx+e

Which will become as 1.x^(4)+0.x^(3)+0.x^(2)+0.x^(1)-1

Since denominator of the fraction is (x -1) therefore we take x = 1 as zero root.

Now we form the synthetic form as below

          1        0      0    0      -1

1          1        1       1      1      0

          x³      x²      x    

Here coefficient of x³ is 1, for x² is 1, for x is 1, and constant term 1.

Now the fraction will come in the form of  

(x -1) + ((1.x^(3)+1.x^(2)+1.x+1))/((x - 1))

Therefore quotient will be x^(3)+x^(2)+x+1

Option C. is the answer
Answer 2
Answer: Hello,

x^4-1=(x²-1)(x²+1)=(x²+1)(x-1)(x+1)
==>(x^4-1)/(x-1)=(x²+1)(x+1)=x^3+x^2+x+1
Answer C

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Answers

A function which maps an input to itself, has the following formula:

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The output is exactly equal to the input, for example:

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Answer: C

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Answers

To reduce fractions, simply divide both the numerator and the denominator by the GCD of the numerator and the denominator.

For example, to reduce 18/42, you divide the numerator and denominator by 6, since 6 is the GCD of 18 and 42, to get 3/7.  However, a fraction such as 7/17 is already reduced entirely, because the GCD of 7 and 17 is 1.

Hope I helped!  Feel free to respond to my answer if anything is unclear.

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Answers

Answer:

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Step-by-step explanation:

Assume that the sales of a computer retail store are approximated by a linear function. Sales were $990,000 in 1983 and $2,830,000 in 1988. Let x=0 represent 1983. Find the equation given yearly sales. Estimate sales in 1991.

Answers

To find the equation for the linear function representing the sales, we need to find the slope (m) and the y-intercept (b).

The slope, m, can be calculated using the formula: m = (y2 - y1) / (x2 - x1),where (x1, y1) and (x2, y2) represent points on the line. Using the given data, (1983, $990,000) and(1988, $2,830,000),we have: m = (2,830,000 - 990,000) / (1988 - 1983) = 568,000Substituting one of the points, say (1983, $990,000), into the equation y = mx + b, we can solve for b: 990,000 = 568,000 * 0 + b b = 990,000

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To know more about linear function visit:

brainly.com/question/29205018

#SPJ2
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See attached calcs

A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new fast food outlet, what is the probability that all 4 students selected are undergraduate students? A. 0.0256
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Answers

Answer:

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Step-by-step explanation:

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