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iris [78.8K]
2 years ago
11

Use synthetic division to divide 2x^4 – 3x^3 + 2x2 – 8x – 1 by x – 1.

Mathematics
1 answer:
In-s [12.5K]2 years ago
7 0

1. controle if no numbers are missing and the numbers are in the right order

2. the formula is x-a so a=1

3. write everything out in the scheme

4. let the first number drop down

5. multiply the answers by a

6. add the number that are under each other

7. repeat 5 and 6 until to you're done

8. write down the equation

9. last number in the scheme is your residue, which means that you write it at the end, outside of the ()

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What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).
Aliun [14]

The solution of the system of equation is (-7, -2).

<h2>Given</h2>

The system of the equations;

\rm y^2 + x^2 = 53 \\\\y -x = 5

From equation 1

\rm  y -x=5\\\\y = 5+x

Substitute the value of y in equation 1

\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0     \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2

The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

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y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2

Hence, the solution of the system of equation is (-7, -2).

To know more about System of Equation click the link given below.

brainly.com/question/1495351

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If we simply line up the equation of our given circle with our formula,

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So now we have our answer.

center ⇒ (-3, 2)

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