Complete the steps to factor the polynomial by grouping. P(x) = x3 + 5x2 – x – 5 P(x) = x2 (x + ) – (x + 5) P(x) = (x2 – )(x + 5) P(x) = (x – )(x + 1)(x + )

Answers

Answer 1
Answer:

Answer:

p(x)=(x+5)(x-1)(x+1)

Step-by-step explanation:

we are given polynomial as

p(x)=x^3+5x^2-x-5

We can group first two terms and last two terms

p(x)=(x^3+5x^2)-x-5

We can factor out -1 from last two terms

p(x)=(x^3+5x^2)-1* (x+5)

We can see that x^2 is common in first two terms

so, we can factor out x^2 from first two terms

p(x)=x^2(x+5)-1* (x+5)

we can see x+5 is in both terms

so, we can factor out x+5

p(x)=(x+5)(x^2-1)

we can also factor it as

p(x)=(x+5)(x-1)(x+1)

Answer 2
Answer:

Answer:

P(x)=x^2(x+5)-(x+5)

P(x)=(x^2-1) (x+5)

P(x)=(x-1) (x+1) (x+5)


Step-by-step explanation:



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Write an algebraic expression to represent the phrase below.a number n decreased by 5
please help

Answers

Answer

5-n

Step-by-step explanation:

Nikki makes $9.50 an hour working at Current Electronics She plans to buy a DVD recorder that costs $269.60. Write and solve an inequalitydescribing how many hours h Nikki will have to work to be able to buy the DVD recorder
A. 269,60 -- 29.56; 28 hours
B. 9.50h 2 269,60; 29 hours
C. 269.60 + h 29.50; 31 hours
D. 269.60 2 9,50; 30 hours

Answers

Answer:I would believe it's the first choice. I'm not great with the inequalities though so it could be wrong. If you work 29 hours making $9.50, you make like $275 or something so it is greater than the $269.60 you need. :D

Answer:

nikki should quit her job

Find four rational numbers between -3/2 and 5/3

Answers

Answer:

Four rational numbers between -(3)/(2) and (5)/(3) are x_(1) = -(13)/(15), x_(2) = -(7)/(30), x_(3) = (2)/(5) and x_(4) = (31)/(30).

Step-by-step explanation:

First, we calculate the distance between -(3)/(2) and (5)/(3):

r = (5)/(3)-\left(-(3)/(2)\right)

r = (5)/(3)+(3)/(2)

r = (10+9)/(6)

r = (19)/(6)

Then, we find four rational numbers by using the following formula:

x = -(3)/(2)+\left((n)/(5))\cdot \left((19)/(6) \right)

First number (n = 1)

x_(1) = -(13)/(15)

Second number (n = 2)

x_(2) = -(7)/(30)

Third number (n = 3)

x_(3) = (2)/(5)

Fourth number (n = 4)

x_(4) = (31)/(30)

Arange the number line in the following spending order 20,-40,5-1,10​

Answers

-40 4 10 20 I think this is the answer I’m not sure

HELP ME ANSWER THIS MGA LODI NG BAYAN HAHAHA SERIOUS NA ​

Answers

Answer:

( {x}^{}  + 2) {}^(2)  =  {x}^(2)  + 4x + 4

(2x - 3) {}^(2)  =  {4x}^(2)  - 12x + 9

{(3x + 4)}^(2)  =  {9x}^(2)  + 24x + 16

{(x - y)}^(2)  =  {x}^(2)  - 2xy +  {y}^(2)

{(2x + 3y)}^(2)  = 4x {}^(2)  + 12xy + 9y {}^(2)

In the equation (y-7)=(3)/(4)(x-5) a point on that line is1.(-5,-7)
2.(7,5)
3.(-7,-5)
4.(5,7)

Answers

Answer:

First find the slope of the straight line, m=(Y2-Y1)/(X2-X1)=(17–7)/(-5–0)=-2.

Using the standard equation of a straight line, y=mx+b, we know that m=-2.

Thus, so far we know that y=-2x+b.

Now plug in the coordinates of either of the above points, that we know do lie on the straight line, into our equation, y=-2x+b, and solve for b.

I will use the first point, (0,7), to get 7=(-2)(0)+b.

Solving for b, we see that b=7.

Therefore, the equation of the straight line is y=-2x+7.

It is a good idea to check your answer on a graphing calculator.