Find the zeros of this polynomial:

p(x)= (x²+4x+3)(x²-4)

Answers

Answer 1
Answer:  -3, -2, -1, 2

====================================================

Explanation:

Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.

Let's apply that idea to the first factor.

x^2+4x+3 = 0

(x+1)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -1 or x = -3  are two roots

-------------

Do the same for the other factor as well.

x^2 - 4 = 0

(x-2)(x+2) = 0  .... difference of squares rule

x-2 = 0 or x+2 = 0

x = 2 or x = -2  are another two roots

--------------

In total, the four roots are:

x = -3x = -2x = -1x = 2

Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.

Find The Zeros Of This Polynomial:p(x)= (x+4x+3)(x-4)

Related Questions

How would I simplify radical expressions?

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[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]

HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?

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Answer:

Minneapolis

Step-by-step explanation:

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Answer:

ask crohme it knows the answer

i need help with this i dont know how to do it...

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∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,

[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]

[tex]\mathbb{MIREU} [/tex]

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I think this is right.

2 1/3 divided by 1 1/5 what is the answer as a fraction or mixed number in simplest form?

Answers

Answer:

1.9444444 is the answer or 35/18

Step-by-step explanation:

Answer:

10/3 or 3 (1/3)

Step-by-step explanation:

I used a calculator sorry i don't know how to explain it

Need help fast on hs geometry please

Answers

Here, the two angles are equal.So, it is an isosceles triangle.So, the two opposite sides to the equal angles will be equal.Therefore, XY = YZ

[tex]\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}

15=4x+3

=>4x=15−3

=>4x=12

=>x=3[/tex]

Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15

Answers:

3, 15

Hope you could get an idea from here.

Doubt clarification - use comment section.

y³ written in expanded form is

Answers

y x y x y

hope this helps

According to legend, in 1589 the Italian scientist Galileo

Galilei dropped two rocks of different weights from the top of the Leaning Tower

of Pisa. He wanted to show that the rocks would hit the ground at the same time.

Given that the tower's height is about 177 feet, how long would it have taken for

the rocks to hit the ground?

1

To solve this problem solve the equation

O= 16t² + 177 Round to the hundrettes place,

Don't forget

to label your

answer

Answers

From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.

From the information given, the formula for the height is given as:

h(t) = -16t² + v + h0

where,

h0 = 177

h(t) = 0

We'll put the values back into the formula. This will be:

h(t) = 16t² + v + h0

0 = -16t² + 177

16t² = 177

t² = 177/16

t = 3.326

Therefore, the time taken will be 3.326 seconds.

Learn more about time on:

https://brainly.com/question/2147281

Jason's new business will start making a profit when he sells more than 20 items. Which graph best represents this situation?

Answers

Answer:

I- where is the graph

Step-by-step explanation:

Answer:

It's A the first graph

Step-by-step explanation:

Ajay is going to invest his money into 2 different stocks. Both stocks are independent, and each stock has a 50%
chance of being successful and a 50% chance of failing.
Each stock will make Ajay $500 if it succeeds or lose him $500 if it fails.
If X is a random variable that represents Ajay's profit from investing in these 2 stocks, drag the bars to graph
the probability distribution for all possible values of X.

Answers

The bar graph represents the value of Profit (X) for the different probabilities of stocks x and y.

It can be drawn as follows.

Let x and y denote the two stocks .

The probability of success of x is p=50%= 50/100=1/2 = 0.5

The probability of failure of x is q= 50%= 50/100= 1/2= 0.5

Similarly

The probability of success of y is p=50%= 50/100=1/2 = 0.5

The probability of failure of y is q= 50%= 50/100= 1/2= 0.5

Then their joint distribution can be calculated from the following table.

        x              0.5               0.5               h(y)

y

0.5                  0.25            0.25              0.5

0.5                  0.25             0.25             0.5

g(x)                 0.5                 0.5               1.0

It is evident from the data that x and y have the same probability at each point  when both x and y are at

successfailuresuccess and failurefailure and success

But the random variable X will have different values for

both success  = $500+ $500= $ 1000 both failure  = -$500+ -$500= $- 1000success and failure = $500+ $-500= $0failure and success = $-500+ $500= $ 0

For the bar graph click

https://brainly.com/question/25196929

https://brainly.com/question/25718527

The bar graph will appear as follows.

Answer:

Step-by-step explanation:

What is the equation of the line in slope-intercept form?

Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.

Enter your answer in the boxes.

y =
x +

Answers

Step-by-step explanation:

Use the slope formula

Taking two points on the line:

(0,3) and (-5,0)

3-0/0+5

You will get: 3/5 as your slope

The y-intercept is (0,3)

Therefore:

y = 3/5x + 3

add (7x^2-3 x)+(5x-6)

Answers

Answer:

Step-by-step explanation:

(

4

x

)<(

15

5(5x−2)−3(7x−3)

)

(

4

x

)<(

15

25x−10−21x+9

)

(

4

x

)<(

15

4x−1

)

15x<16x−4

4<x

∴x∈(4,∞)

Rewrite using a single positive exponent.
(5-3)*

Answers

To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.

Step-by-step explanation:

Are you sure that's the complete question? If yes, there's no valid answer to this question as it's not complete. (Please do comment the full question below  if you have it)

But assuming it's 5^-3 , we can apply the reciprocal law of indices which becomes:

[tex]\frac{1}{5^3}[/tex]

This is our final answer.

The reciprocal indices law states that:

[tex]x^{-n} = \frac{1}{x^n}[/tex]

Hope this helps!

For which value of x does each expression make sense

Answers

[tex]\text{If you want the domain of this function then it is}~x\leq 0 ~ \text{or} ~ (-\infty ,0][/tex]

what is 3 1/3, 3.337,33/10,3.11 from least to greatest

Answers

Answer:

1/3 < 3 < 33/10 < 3.337 < 3.11

Step-by-step explanation:

what would be the linear equation for (0,2) and (4,-4)

Answers

Answer:your mom

Step-by-step explanation:

srry had to do it

Please help, I don’t understand this and I did this from a while ago but I’m still confused on how to do it now.

Answers

Answer:

A.) -3p +8

b.) (10/p) -3

3.)

a.) -3(5)+8= -7

b.) (10/5)-3= -1

Step-by-step explanation:

For A and B you just have to read it over and over until you understand what is happening. A tip is when it says "fewer than" then that number usually goes after the second part of the statement.

For 3 it is asking you to plug 5 in for the value of p and solve.

Hope this helps:) Have a good day!

Which expression is equivalent to -16 - 7?

A. -16 + 7
B. -16 + (-7)
C. 16 + (-7)
D. 16 + 7

Answers

Step-by-step explanation:

B. -16 + (-7) ...this is the same as -16-7

5+6b+3d how many terms are in the expression

Answers

Answer:

3

Step-by-step explanation:

5 is a term 6b is a term 3d is a term

Can someone also help me with this one? Thank you very much!

Answers

Answer:

10950 feet

Step-by-step explanation:

1 mile is 5280 feet

5280*2=10560

10560+390=10950

:)

Answer:

Your answer would be 10950!

Step-by-step explanation:

There are 5280 Feet in a mile.  It says that there are 2 MILES and 390 FEET.  We Multiply 2 by 5280 to get 10560 feet.Lastly, we add 10560 and 390 to get 10950

This assignment is already late cause I’m terrible with time management but please help

Answers

45°

B

the sum of the angles of triangles is 180°

60°+75°+x=180°

135°+x=180°

135°-135°+x=180°-135°

x°=45

B

make me brainiest

To solve this question, we have to know some rules

-All tringles' angles must add up to 180 digress

-If the triangles angles do not add up to 180 then the triangles are not a triangle (Just a little reminder if you get asked on it)

Now the steps are easy.

Since you know that all triangles' angles must add up to 180 the formula to find one missing angle is

(Angle number one) + (Angles number two) - 180

If we apply it to the triangle here, it would be

180-(60+75)

Let's solve it slowly

P.E.M.D.A.S

60+75 is 135

180-135=45

Therefore, the answer is 45 or B

I hope this helped if it's wrong pls blame me

ps.Brianlist would really help

There is no options, just a box to type in your answer. PLEASE HELP!!!! 50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!!!!!!!!

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Answer:

16.4 TRUST ME

Step-by-step explanation:

Mark as brainliest

Write a quadratic function f whose zeros are 5 and -2

Answers

Answer:

y = (x-5)(x+2)

Step-by-step explanation:

the zeros are the solution to 'x' of each factor:

x-5=0;   x=5

x+2=0;   x = -2

please help!

53°
44°
46°

Answers

Your answer is 217

Explanation: A whole circle is 360 so add 53 44 and 46 together and that’s 143 and then do 143-360= 217 and that’s your answer

Please help me with this math problem!! NO LINKS PLEASE!! IT'S DUE TONGIHT AT 11:59PM!! :)

Answers

Answer:

∆L = 51°

∆Y = 28°

∆B = 101°

∆U = 51°

UG = 10.66666

BG = 4x

H.E.L.P 100 POINTS!!! Match the addition and subtraction problems to their solutions: (See the picture)

Answers

Here you go,Please give Points.

Can someone please give me the (Answers) to this? ... please ...

Answers

The first answer is 22 , but I’m not sure about the rest

(10²)²

(EXPONENT FORM ONLY)

(i think it's 10⁴ but im not sure)

Answers

Answer: 10^4

Step-by-step explanation:

You can multiply the exponents to get 10^4.

Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?

b) On another trip, he used 9 gallons of gas. How far did he travel?

Answers

Step-by-step explanation:

a)

well, it is kind of written already :

228 miles and 6 gallons.

so, miles/gallon = 228/6 = 38 miles/gallon.

b)

it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.

so, again

38 miles/gallon

and he used 9 gallons.

so, he drove 38×9 = 342 miles

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