Use synthetic division to check -4 is a root of the polynomial expression: x^4+2x^3-9x^2-2x+8=f(x)

Answers

Answer 1
Answer: Hello,

........|x^4|x^3|x^2|x^1|x^0
........| 1..|.2...|.-9.|.-2.|.8
x=-3.| ....|.-4..|.8..|.4..|.-8
........| 1..|.-2..|.-1.|..2.|.0

x^4+2x^3-9x^2-2x+8=(x+3)(x^3-2x^2-x+2)+0
-4 is a root of the polynomial expression.



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How to turn mixed numbers into decimals? For example 1/20

Answers

To convert a mixed number into decimals using this example.
 1/20 converted to a decimal is 1 divided by 20
1/20=.05
you divide the numerator by the denominator
technically 1/20 in not a mixed number but if you did have a mixed number first you would convert it into an improper fraction for example 7 1/4 you would change it to 29/4 then you would divide 29 by 4 your answer to that would be 7.25 (also 1/20 as a decimal would be 0.05

The assignment is about : Subtract Polynomials What i have to do : Subtract the polynomials, showing all the steps necessary to write the answer in simplest form. 1. (3x^1 + 8) - (2x^2 + 1)

2. (5x^2 + 3x - 4) (x^2 - 6x )

please show work

Answers

1. 3x^1 + 8 - (2x^2 + 1).....distribute the negative thru the parenthesis
    3x^1 + 8 - 2x^2 - 1....now combine like terms
    -2x^2 + 3x^1 + 7

2. 5x^2 + 3x - 4 - (x^2 - 6x)...same thing..distribute
    5x^2 + 3x - 4 - x^2 + 6x...combine like terms
    4x^2 + 9x - 4

What is the coordinate for the image of point H( -1, -5) under a 90° clockwise rotation about the origin?​

Answers

The coordinate for the image of point H( -1, -5) under a 90° clockwise rotation about the origin is, (- 5, 1)

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The coordinate of the point H( -1, -5)

Now, The rule for the 90° clockwise rotation about the origin is,

(x, y) = (y, - x)

Hence, The coordinate for the image of point H( -1, -5) under a 90° clockwise rotation about the origin is,

(- 1, - 5) = (- 5, 1)

Learn more about the coordinate visit:

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What is the value of the expression below when x
6 and y = 10?
10x - 5y

Answers

Answer: 10

Step-by-step explanation: Because 10times X when X=6 is 60 then 5 times Y when Y=10 makes it 50 then subtract the two numbers

60-50=10

Final answer:

The value of the expression 10x - 5y when x = 6 and y = 10 is 10.

Explanation:

The expression given is 10x - 5y. We are asked to determine the value of this expression when x = 6 and y = 10. To do this, we replace x and y in the expression with these given values:

10*6 - 5*10 = 60 - 50 = 10

So, when x = 6 and y = 10, the value of the expression 10x - 5y is 10.

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Make x the subject of m=n + x/p URGENT!! Please

Answers

Step-by-step explanation:

m = n + (x)/(p)  \n  \n  (x)/(p)  + n = m \n  \n  (x)/(p )= m - n \n  \n x = m(p) - n(p) \n

Answer:

p(m - n) = x

Step-by-step explanation:

You want to "solve for x."  To do this, subtract n from both sides (for the purpose of isolating the x/p term):

m - n + x/p

Next, multiply all terms by p:

p(m - n) = x

The area of a rectangle is 21 m squared, and the length of the rectangle is 1 m less than twice the width. Find the dimensions of the rectangle. Help?

Answers

This should be right because I checked it afterwards
Width=W
Length=2W-1
The equation is as follows
W(2W-1)=21
2W^(2)-W=21
Subtract 21 from each side
2W^(2)-W-21
Group them/put them in parentheses..can't think of the right word right now
(2W-7)(W+3)
-7=I7I
You only do this for the first parenthese, 7÷2W=3.5
W=3.5
If W=3.5 then 2W-1⇒2×3.5-1⇒7-1⇒6
Length=6
If W=3.5 and L=6, then W(2W-1)=21
3.5(2×3.5-1)=21
Solve in parentheses first
3.5(7-1)=21
3.5(6)=21
3.5×6=21
The width is 3.5
The length is 6