If two zeroes of the polynomial f(x)=x3−4x2−3x+12 are √3 and -√3 then find its third zero.

Answers

Answer 1

Answer:

Third zero is 4

Step-by-step explanation:

The polynomial is;

f(x) = x³ − 4x² − 3x + 12

We are given 2 zeros which are √3 and -√3.

This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.

Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.

I have attached this long division method and we have the third factor as; (x - 4)

Equating to zero, we have x = 4 as the third zero of the polynomial

If Two Zeroes Of The Polynomial F(x)=x34x23x+12 Are 3 And -3 Then Find Its Third Zero.

Related Questions

Find the area of the composite figure

Answers

Answer:

370mm

Step-by-step explanation:

15mm×30mm=450mm

8mm×10mm

450mm-80mm =370mm

What’s the distance between (-9, 5) and (-9, -1) please helpppp

Answers

Answer:

6

Step-by-step explanation:

If you use the distance formula, which is [tex]\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})[/tex] and you plug everything in, you get 6.

A bag contains yellow balls, pink balls and green balls only.
The ratio yellow balls : pink balls : green balls = 7:3:5.
There are 42 yellow balls in the bag.
Work out the total number of balls in the bag.
What’s the answer

Answers

Answer:

90

Step-by-step explanation:

M1 for ( ) 42/7 [x(7+3+5)] soi by 6

=90

Assuming there are only 42 yellow balls in the bag. The total number of balls in the bag is 90 balls.

Total number of balls

Formulate

42×(3+5+7)÷7

Reduce the fraction

42÷7×(3+5+7)

6×(3+5+7)

Hence:

Total number of balls=6×15

Total number of balls=90 balls

Inconclusion the total number of balls in the bag is 90 balls.

Learn more about  total number of balls in the bag here:https://brainly.com/question/281805

Answer the statistical measures and create a box and whiskers plot for the following set of data.
1,1,6,10,12,13,13,14,16,19
Min:
Q1:
Med:
Q3:
Max:

Answers

Answer:

Min: 1

Q1: 2.75

Med: 12.5

Q3: 8.25

Max: 19

Step-by-step explanation:

hi can someone pls help me, I’m confused

Answers

Answer:

(E) 72 w^2 is the answer

Step-by-step explanation:

outer square area is 81 w^2

inner square area is 9 w^2

subtracting outer - inner we can get the shaded area

so 81 -9= 72w^2

Answer:

E. 72w²

Step-by-step explain:

Area I = a × a

= 9w × 9w

= 81w²

Area II = a × a

= 3w × 3w

= 9w²

Shaded area = Area I - area II

= 81w² - 9w²

= 72w²

#CMIIW

HELPPPP PLEASE !!!!!!!!!!!!!!

Answers

Answer:

113°

Step-by-step explanation:

triangles add up to 180°

180° - 34° - 33° = 113°

Answer:  113

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

Explanation:

For any triangle, the three interior angles must add to 180 degrees

34+33+x = 180

x+67 = 180

x = 180-67 ... subtract 67 from both sides

x = 113

This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).

A fish swimming at the same depth as the hook at the end of her fishing line in s 60 feet away

Answers

Answer:

.

Step-by-step explanation:

What's the area of this 3d shape??​

Answers

Answer:

You need to do 7 time 8 times 2 times 3

Does anyone know how to solve this?

Answers

Answer:

$ 22.5

Step-by-step explanation:

B(x) = 30.50 - 0.20x

Notice that x defines the number of prints.

For prints = x = 40

B(40) = 30.50 - 0.20(40)

B(40) = 30.50 - 8

B(40) = 22.5

Remaining amount is $22.5

B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.

That's why the function is 30.50 - 0.20x.

Where x is the nunber of times you spend(buying prints)

evaluate the expression 5-(6+3i)+2i

Answers

Answer:

-1 - i

Step-by-step explanation:

First, start by distributing the negative sign(-1), and you get:

5 - 6 - 3i + 2i

Next, combine the like terms, 5 & -6, and -3i & 2i.

This gives us: -1 - i

Help please...

x = 3y
4x + 5y = 34

solve for x and y


Help help

Answers

Answer: y=2 and x=6

Step-by-step explanation:

x=3y

4x+5y=34

From equation ( 1) x=3y thus substituting in eqn(2)

4(3y)+5y=34

12y+5y=34

17y=34

y=34÷17=2

Thus y=2

Putting y=2 in eqn(1)

x=3y

x=3(2)

x=6

what is the value of x

Answers

Answer:

8

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

Answer:

I. x=8

Step-by-step explanation:

lines form 180° angles so

140 +5x= 180 ; subtract 140 from both sides

5x= 180-140; divide both sides by 5

x= 40/5 = 8

need answer for sin A please

Answers

Answer:

sin A = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{37}[/tex]

16. The list below shows the different choices of pizza at
the local pizza shop:
.
.
pepperoni: 11
supreme: 7
cheese: 6
Hawaiian: 3
Based on these results, if 189 pizzas were sold, then how
many could be expected to be cheese?

Answers

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

This petite girl, short as can be is gonna jump and be free
-Rachie [My R]

Answers

for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!

Help pls I have absolutely no idea how to solve this and I don’t know what the answer is

Answers

Answer:

similar but i dont know which one sorry

Step-by-step explanation:

You are doing great today. I am proud of you for waking up and getting on with life. Mwuah have a good day don't let anyone take you down.

Answers

Answer:

this just helped me so much

Step-by-step explanation:

Omg ilysm and thank you for spreading such positivity Muaahhh<3

What's the Pythagorean Theorem?
If anyone could assist, I would be happy to award you brainliest!

Answers

Answer:

The pythagorean theorem is a^2 + b^2 = c^2

Step-by-step explanation:

Not sure what you're asking! Sorry! :)

I need help with geometry

Answers

Answer:

146

Step-by-step explanation:

angle AB is an inscribed angle and arc AB is it's intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle

Thus, arc ab = 2(73)

2 * 73 = 146

hence, arc AB = 146

Answer:

mAB = 146°

Step-by-step explanation:

We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:

73° = 1/2(mAB)

mAB = 146°


Pls hurry , timed test

Answers

Answer:

c

Step-by-step explanation:

which statement is true

Answers

C is the true statement :)

Use the data to answer the question.
28, 32, 36, 37, 39, 41, 41, 43, 45
What is the median of the data?
OA 37
B. 38
Oc. 39
D
41

Answers

Answer:

c. 39

Step-by-step explanation:

you have to find the middle of this. 39 is the middle.

Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the number of minutes it took each group to solve the puzzle and plotted the results.

Answers

Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

Ashley drew the triangle LMN on the grid below


What is the area of triangle LMN?

Answers

Answer:

B. 27 square units

Step-by-step explanation:

Area of ∆LMN = ½(base*height)

base = MN = 6 units

height = distance from L to MN = 9 units

Plug in the values into the formula

Area of ∆LMN = ½(6*9)

Area = ½(54)

Area = 27 square units

What is an
equation of the line that passes through the points (-4, -3) and
(3, -3)?

Answers

Answer:

y=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

Which function has a maximum that is greater than the maximum of the graph g(x)?
O y = (x + 3)2 + 2
y=-5 (x+3)2 + 4
O y=- } (x - 2)2 +3
O
y = (x - 2)2 + 4

Answers

the answer is y=(x-5)^2+3

ILL GIVE BRAINLIEST. plsss help asap

Answers

Answer:

first one

Step-by-step explanation:

Answer:

It will be the first answer, Both balls will at the same rate

WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!

Answers

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in right triangle BPO

with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )

OP² + 4² = 5²

OP² + 16 = 25 ( subtract 16 from both sides )

OP² = 9 ( take the square root of both sides )

OP = [tex]\sqrt{9}[/tex] = 3

Jeremy rounded the weight of his fruit to the nearest whole. He said his bag of apples weighed 4 pounds. What could have been the actual weight of his bag of apples? Group of answer choices

Answers

Answer: 3.5 - 4.4 pounds

Step-by-step explanation:

You included no options so I answered with the range of the answer.

When rounding a number up to the nearest whole number, the number needs to have the first decimal being 0.5 and above all the way to 0.9.

When rounding a number down to the nearest whole number, the number needs to have its first decimal being 0.1 to 0.4 to be rounded down.

For instance, 3.5 to 3.9 would get rounded up to 4 pounds.

4.1 to 4.4 would be rounded down to 4 pounds.

solve the absolute value equation
|x+1|=|2x-6|​

Answers

Answer:

x = 5, and/or x= - 7/3

Step-by-step explanation:

|x+1|=|2x+6|

We know eitherx+1=2x+6orx+1=−(2x+6)

x+1=2x+6(Possibility 1)

x+1−2x=2x+6−2x(Subtract 2x from both sides)

−x+1=6

−x+1−1=6−1 (Subtract 1 from both sides)

−x=5

(Divide both sides by -1)

x=−5

x+1=−(2x+6)(Possibility 2)

x+1=−2x−6(Simplify both sides of the equation)

x+1+2x=−2x−6+2x(Add 2x to both sides)

3x+1=−6

3x+1−1=−6−1(Subtract 1 from both sides)

3x=−7

Divide both sides by 3

x= −7 / 3

Check answers. (Plug them in to make sure they work.)

x=−5(Works in original equation)

x= −7/3

(Works in original equation)

Answer:

x=−5 or x= −7 / 3

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