All categories

2 years ago

Multiply (x-1)(x³+4x²+4x-1) and combine like terms. Explain how you reached your answer.

Mathematics

1 answer:

Hitman42 [59]2 years ago

5 0

Answer:

x⁴+3x³ -5x +1

Step-by-step explanation:

To multiply this we are going to multiply each term of the binomial by each term of the polynomial.

$(x-1)(x^{3}+4x^{2} +4x-1)\\=x^4+4x^3+4x^2-x -x^3-4x^2-4x+1$

Now we are going to combine like terms (this means we are going to sum up terms with the same exponent)

$x^4+4x^3+4x^2-x -x^3-4x^2-4x+1 = x^4 +(4x^3-x^3)+(4x^2-4x^2)+(-x-4x)+1\\=x^4+3x^3-5x+1$

Thus, the answer is x⁴+3x³ -5x +1

You might be interested in

What is the value x in 8+6y=9

Rashid [163]

Answer:

Do you mean y? if you did it should be 1/6 or 1.666666 repeating.

Step-by-step explanation:

I needed the 6y to = 1 so I did the inverse of it by and got 1 so y should = 1/6

3 0

3 years ago

Please help me with my homework I don't understand it

Damm [24]

Answer:

Part A:

0.1111111111111 = 1/9

Part B:

Step-by-step explanation:

Part A:

When I put 0.111111111 into my calculator I get a conversion of 1/9.

Part B:

The fraction 1/9 means that for every 9 kids he surveyed, 1 of them replied "yes."

So covert 1/9 into x/27

27/9 = 3 which means 9 goes into 27, 3 times.

Multiply 1 by 3.

1 x 3 = 3

Put into fraction form

3/27

This means 3 students out of 27 answered "yes."

6 0

2 years ago

Complete the table of values for this absolute value function. Then use the drawing tool(s) to graph the function. F(x)-2|x+1|-1

rusak2 [61]

Answer:

Please check the explanation!

Step-by-step explanation:

Given the equation

$f\left(x\right)=-2|x+1|-1$

As some of the absolute rules are:

$\left|a\right|=a,\:a\ge 0$

$\:|-a|=a,\:\quad \:a>0$

NOW, let us solve!

Let us substitute all the table values

Putting x = -4

$y=-2\left|-4+1\right|-1$ ∵ $\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0$

$y=-6-1$

$y=-7$

So, when x = -4, then y = -7

Putting x = -3

$y=-2|-3+1|-1\:$

$y=-4-1$

$y=-5$

when x = -3, then y = -5

Putting x = -2

$y=-2\left|-2+1\right|-1$

$y=-2-1$

$y=-3$

when x = -2, then y = -3

Putting x = -1

$y=-2\left|-1+1\right|-1$

$y=-0-1$

$y=-1$

when x = -1, then y = -1

Putting x = 0

$y=-2\left|0+1\right|-1$

$y=-2-1$

$y=-3$

when x = 0, then y = -3

Putting x = 1

$y=-2\left|1+1\right|-1$

$y=-4-1$

$y=-5$

when x = 1, then y = -5

The graph is also attached below.

6 0

2 years ago

Can you simplify 846/1000

OverLord2011 [107]

Yes, the simplified fraction would 423/500

8 0

2 years ago

Read 2 more answers

What is the length of line segment AB, rounded to the nearest tenth?

labwork [276]

Answer:

did they give you options?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers