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alexira [117]
3 years ago
8

Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x +

k)(x − k)(3x + 2) k= ____________ Numerical Answers Expected! Answer for Blank 1:
Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0
First you graph it using a graphing calculator, you look at the table of values to find out one point in which y= 0. The first one that comes up is when x=1.
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0. 

Once you have an x value which makes y=0, you can start factorizing it. 
you divide 6x3 +4x2 -6x - 4 into (x-1) which is when y =0 
to get 6x2+10x+4 

This can be used to write the polynomial as (x-1)(6x2 +10x+4) 
you then factorize the second bracket, 6x2 +10x+4.
you can take the 2 outside to give you 2(3x2 +5x+2) 
you can factorize this to become 2(3x+2)(x+1) 

Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).

From this you can deduce that k= 1 
Svetllana [295]3 years ago
5 0

Answer:k=1 i really hope this helps tehe

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7483÷1000 in decimals​
Makovka662 [10]

Answer:

7.483

As a fraction it would be 7 483/1000

Hope this helps!

5 0
3 years ago
Read 2 more answers
Determine the quotient, q(x), and remainder, r(x) when
Fed [463]
ANSWER

Quotient:

q(x) = {x}^{2} - 4x + 7\\

Remainder:

r(x) = 11x - 29

EXPLANATION

The given functions are

f(x) = 4 {x}^{4} + 12 {x}^{3} + 17 {x}^{2} + 19x + 6

and

g(x) = 4 {x}^{2} + 4x + 5

We want to find the quotient and the remainder when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

q(x) = {x}^{2} - 4x + 7

The remainder is

r(x) = 11x - 29

5 0
3 years ago
jada and diego are practing the piano for sn upcoming rehersal the table list the number of minutes each of them practiced in th
Margarita [4]

Answer:

jadas practice time is 168 minutes or 2 hours 48 minutes.  Diegos practice time is 235 minutes or 3 hours 55minutes hope this helps! have a nice day and good luck with your test!

Step-by-step explanation:

4 0
2 years ago
Brand X costs $2.70 for 10 ounces. Brand Y costs 4 cents more per ounces. What is the cost of 11 ounces of brand Y?
Ksju [112]
Well you have to first find the constant of Brand X which would be 2.70/10 = .27. Brand Y is .4 more so that would be .31 per ounce. So then .31 x 11 = 3.41. The cost of 11 ounces of brand Y is $3.41.
8 0
2 years ago
EACH PAIR OF FIGURES IS SIMILAR. FIND THE MISSING SIDE!!!!
inessss [21]

Answer:

58.1 and 17

Step-by-step explanation:

For the first triangles the similarity ratio is 1:7 so x is 8.3 × 7 = 58.1

For the second triangles the similarity ratio is 1:5 so x is 3.4 × 5 = 17

8 0
3 years ago
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