Using synthetic division, find (2x4 − 3x3 − 20x − 21) ÷ (x − 3).

Mathematics

1 answer:

noname [10]2 years ago

6 0

The correct option for the synthetic division is A. 2x³ + 3x² + 9x + 7

<h3>How to solve the division?</h3>

Write down the first coefficient without changes and multiply the entry in the left part of the table by the last entry in the result.

Then, add the obtained result to the next coefficient of the dividend, and write the sum. All the coefficients are the coefficients of the quotient, and the last coefficient is the remainder.

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The angle θ lies in Quadrant II. sinθ=3/4 What is cosθ ?

Elden [556K]

Hello from MrBillDoesMath

Answer:

[email protected] = - sqrt(7)/ 4

which is choice B

Discussion:

This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:

([email protected])^2 + (sin2)^2 = 1

If [email protected] = 3/4 , the

([email protected])^2 + (3/4)^2 = 1 => (subtract (3/4)^2 from both sides)

([email protected])^2 = 1 - (3/4)^2 = 1 - 9/16 = 7/16

So...... taking the square root of both sides gives

[email protected] = +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4

But is [email protected] positive or negative? We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative

[email protected] = - sqrt(7)/ 4

which is choice B

Thank you,

Mr. B

4 0

4 years ago

What is the value of x

sergey [27]

X = 7 / sin(45)

x = 7 / sqrt(2)/2

x = 7 sqrt(2)

4 0

3 years ago

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