find a quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively​

Answers

Answer 1

Answer:

[tex]P(x)=x^2+x-6[/tex]

Step-by-step explanation:

Quadratic Polynomial

Assume we have a polynomial factored as:

P(x)=a(x-m)(x-n)

Where m and n are the zeros of P(x).

Operating:

[tex]P(x)=a(x^2-(m+n)x+mn)[/tex]

Note the coefficient of x is the negative sum of the zeros and the independent term is the product of the zeros.

If we are given the zeros m=-3 and n=2, then:

[tex]P(x)=a(x^2-(-3+2)x+(-3)(2))[/tex]

[tex]P(x)=a(x^2+x-6)[/tex]

We can choose any value for a, for example, a=2:

[tex]P(x)=2x^2+2x-12[/tex]

For a=1:

[tex]P(x)=x^2+x-6[/tex]


Related Questions

I need help ASAP, please

Answers

Answer:

y = 4x + 40 and y = 40

Step-by-step explanation:

BAD  QUESTION.

Believe it's y = 4x + 40 and y = 40. Others don't make sense. Sorry for bad explanation, but I'm a little unsure do to the question...

The second one is probably x > 10

Sorry in advance, try the question yourself if you can and check cause.

Describe and correct the error in finding the different of the polynomials ..

Answers

Answer:

Am not seeing any error

[tex](4 {x}^{2} - x + 3) - (3 {x}^{2} - 5x - 6) \\ = (4 - 3) {x}^{2} - (5 + 1)x + (3 - 6) \\ = {x}^{2} - 6x - 3[/tex]

helpppppppppppppppppp​

Answers

Answer:

5x + y = -48

Step-by-step explanation:

(y + 3)/(x + 9) =m

=> y + 3 = -5x -45

=> 5x + y + 48 = 0

Please help out in need

Answers

im late do you still need the answers

Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile she descends.
If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now?
Select all that apply.

Answers

a. -8/3 miles below sea level.

Sasha started at sea level and has hiked down to the fourth rest station.

Now sea level is 0.

Sasha takes a break at the rest stations every 2/3 of a mile.

This means she is down to 4 rest points means 4 times 2/3

This becomes =

But the answer will be in negative as she is below 0.

So, correct answer is: a. -8/3 miles below sea level.

                                       Other way,

sea level is 0.....so if u go below sea level, u will end up with a negative number...and since she is hiking down, ur answer will be negative. The is a station every 2/3 mile....and if she passed 4 of them....

-2/3 * 4 = - 8/3 <=== her elevation....another answer could have been - 2 2/3, but that is not there

Sasha's elevation will be -8/3 miles below sea level.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile she descends.

Sasha started at sea level and hiked down to the fourth rest station. Now the sea level is 0. Sasha takes a break at the rest stations every 2/3 of a mile.

This means she is down to 4 rest points means 4 times 2/3

This becomes = 4 x ( 2 / 3) = 8 / 3

But the answer will be negative as she is below 0.

Therefore, Sasha's elevation will be -8/3 miles below sea level.

To know more about an expression follow

brainly.com/question/25808192

#SPJ2

do you smiply slope...........

Answers

Answer:

Yes... or no

Step-by-step explanation:

You simplify slope if you can simplify the numerator and denominator.

I hope this helped, please give brainliest if this is correct! Thank you!

Answer:

Give brainlist ti that person: )

Step-by-step explanation:

find the unknown side length X, write your answer in simplest form.​

Answers

Answer:

I have 5 inches in length as my measurements

what Is 2+2 :)
what Is 5+5​

Answers

Answer:

2+2=4

5+5=10

Step-by-step explanation:

i hope this helps

Answer:

2 + 2 is  4 and 5 + 5 is 10

Step-by-step explanation:

becuase it is :>

should i ask my cruch out

Answers

Answer:

go for it!!!!

Step-by-step explanation:

Answer:

If you feel like you should. Just make sure they are single.

HELLLPPPP
The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.

Answers

Answer:

Step-by-step explanation:

The output of a function is 3 less than 6 times the

input. Find the input when the output is 15.

find out u

which fraction is equivalent to 2/4​

Answers

1/2 or in decimals .5

Answer: 1/2

Step-by-step explanation:U need to simplify 2/4 by divide both 2 and 4 by 2 which gives u 1 over 2 (1/2).

Hope it helps :)

Equations for the vertical and horizontal lines passing through the point (6,-3)

Answers

Answer:

Vertical line: x = 4

Horizontal line: y = -2

Step-by-step explanation:

Please help me out with this one

Answers

Answer:

2%

Step-by-step explanation:

thank u for Ur question:)

4(9y-6) please helpppppp

Answers

Answer:

36y-24

Step-by-step explanation:

Answer:

36y - 24

Step-by-step explanation:

4(9y - 6)

First Step: Multiply both 9y and -6 by 4

36y - 24

x^2 + 36x = 88 solve for x

Answers

The answers is
X = -18 + 2 √103
X = -18 - 2 √103

Answer:

[tex]x^{2}+36x=88\\ x^{2}+36x-88=0\\[/tex]

Step-by-step explanation:

The rest is not factorable this is as far as you can go

sorry, hope this still helps


Which value is a solution to the inequality x <4

Answers

Answer:

any number under 4 so 3 2 1 -1 -2 -3 -4 -5 -6 -7 etc

Step-by-step explanation:

Answer: oh kay then....

Solve the following equation by completing the next two lines (showing all work )
X + 6 = 10

Answers

Answer:

x=10-6

x=4

Step-by-step explanation:

for which level

HELP ME PLEASE I ONLY HAVE 5 MIN

Answers

Answer:

L = (-1.5, 2) U = (1.5, 2.5) V = (1, -0.5)

Step-by-step explanation:

Just divided everything by two.

Which table represents a linear function?

Answers

Step-by-step explanation:

the second table

......................

Second table! Mark brainlest please

Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find f(x) · g(x) and
express the result in standard form.

Answers

Answer:

[tex]f(x)\cdot g(x)=x^3-21x^2+135x-243[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x^2-12x+27\text{ and } g(x)=x-9[/tex]

And we want to find:

[tex]f(x)\cdot g(x)[/tex]

So, by substitution:

[tex]=(x^2-12x+27)\cdot (x-9)[/tex]

Distribute:

[tex]=(x^2-12x+27)(x)+(x^2-12x+27)(-9)[/tex]

Multiply:

[tex]=(x^3-12x^2+27x)+(-9x^2+108x-243)[/tex]

Rearrange:

[tex]=(x^3)+(-12x^2-9x^2)+(27x+108x)+(-243)[/tex]

Combine like terms:

[tex]=x^3-21x^2+135x-243[/tex]

Hence:

[tex]f(x)\cdot g(x)=x^3-21x^2+135x-243[/tex]

please help me thanks

Answers

Answer:

E

R

R

R

E

E

Step-by-step explanation:

explanation

Write the word sentence as an inequality.
The quotient of a number y and -2.5 is less than
10.5.

Answers

Answer:

-[tex]\frac{y}{2.5}[/tex] < 10.5

Step-by-step explanation:

Which is the best description of an extraneous solution?

A solution that results in a true statement when substituted back into the original equation.

A solution that results in a false statement when substituted back into the original
equation.

A solution that is false for all absolute value equations.

A solution that is true for all absolute value equations.

Answers

Answer:

A solution that results in a false statement when substituted back into the original  equation.

Step-by-step explanation:

An extraneous solution is one that arises in a solution of equations, but which on closer inspection is not a solution to the original equation. Therefore, they imply an error in the development of the solution of the equation, so they cannot be taken as a valid solution since, when replacing the result with the missing variable, the equation does not obtain the desired result.

Help I’ll give out brainliest thank you

Answers

Answer:

37 hours

Step-by-step explanation:

to find out how many hours it will take the ship to get to the bahamas, we must take the distance that needs to be traveled and divide it by the distance traveled every hour (m/h)

859 / 23 = 37.3478261

now, rounded to the nearest hour, that would be 37 hours

3-78

please awnswer :d

Answers

Answer:

The answer would be -75

Step-by-step explanation:

Half of a number decreased by 8 is 3 *

Answers

Answer:

the number is 22

Step-by-step explanation:

[tex]11 - 8 = 3[/tex]

[tex]11 + 11 = 22[/tex]

How do you expand double brackets

Answers

You pull them and they expand :) !!!! Yea

Answer:

Step-by-step explanation:

Expanding double brackets is easy. Let me give u an example :

(x+5)(x+1)

so the way i do it is

1.Write the second bracket (x+1) twice :

(x+1) (x+1)

2. split the first bracket (x+5) like this :

x(x+1) +5(x+1)

3. Simplify

x*x = x²

x*1 = 1x

5*x = 5x

5*1 = 5

x² + 1x + 5x + 5 = x² + 6x + 5

so the final answer is gonna be x² + 6x + 5

in order to factorize it, u basically do the following :

1. Find two numbers, that multiply to give the last number (a.k.a 5 ) and add to give the middle number (a.k.a 6) The middle number is the sum, and the last number is the product.

so u write all the combo's that make the number 5 :

1 x 5

The two number's are gonna be 1 & 5, because 1 + 5 = 6 (the sum) and 1 x 5 = 5 (the product)

This example is easy since it doesn't include any negative numbers, so u just do = (x+1) (x+5) or (x+5) (x+1) same thing ;-;

I think u should just ask a teacher or watch a tutorial or smthn, this is like the worst explanation ever. But yeah once u know the method, you'll find expanding double brackets rly easy.

can somone pleasee help it’s due today. 15 points!

Answers

Answer:

9

Step-by-step explanation:

11×9=99

Only 1p remaining which is not enough for another sweet.

So it is 9

Please give brainliest and thank me if it helped.

A movie theater has 1,000 seats. There are 424 adults and 339 children sitting i seats. How many of the seats are empty

Answers

Answer:

237

Step-by-step explanation:

1000-424-339=237

:):):)

QUESTION NUMBER ONE
FIND THE SALE PRICE OR RETAIL PRICE.
ORIGINAL PRICE: $85
DISCOUNT: 19%

Answers

Answer:

$68.85

Step-by-step explanation:

19% of $85 is $16.15

$85 - $16.15 = $68.85

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