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krok68 [10]
2 years ago
14

Divide using long division. -15x3 + 37x2 - 8x - 6/3x-5

Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0

{\pmb{\bf{Refer \: to \: the \: attachment \: :D}}}

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The polynomial p(x)=x^3+7x^2-36p(x)=x 3 +7x 2 −36p, left parenthesis, x, right parenthesis, equals, x, cubed, plus, 7, x, square
Iteru [2.4K]

Answer:

(x-2)(x+3)(x+6)

Step-by-step explanation:

Given the polynomial function p(x)=x^3+7x^2-36

We are to write it as a product of its linear factor

Assuming the value of x that will make the polynomial p(x) to be zero

Let x = 2

P(2) = 2³+7(2)²-36

P(2) = 8+7(4)-36

P(2) = 8+28-36

P(2) = 0

Since p(2) = 0 hence x-2 is one of the linear factors

Also assume x = -3

P(-3) = (-3)³+7(-3)²-36

P(-3) = -27+7(9)-36

P(-3) = -27+63-36

P(-3) = 36-36

P(-3) = 0

Since p(-3) = 0, hence x+3 is also a factor

The two linear pair are (x-2)(x+3)

(x-2)(x+3) = x²+3x-2x-6

(x-2)(x+3) = x²+x-6

To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.

x^3+7x^2-36/x²+x-6 = x+6

Hence the third linear factor is x+6

x^3+7x^2-36 = (x-2)(x+3)(x+6)

8 0
3 years ago
Read 2 more answers
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead. Construct 90% confiden
hram777 [196]

Answer:

(0.4958, 0.7422)

Step-by-step explanation:

Let p be the true proportion of water specimens that contain detectable levels of lead. The point estimate for p is \hat{p}=26/42=0.6190. The estimated standard deviation is given by \sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{(0.6190)(1-0.6190)/42}=0.0749. Because we have a large sample, the 90% confidence interval for p is given by 0.6190\pm z_{0.05}0.0749 where z_{0.05}=1.6448 is the value that satisfies that above this and under the standard normal density there is an area of 0.05. So, the confidence interval is 0.6190\pm (1.6448)(0.0749), i.e., (0.4958, 0.7422).

5 0
3 years ago
Is 3/10 of the visitors were adults and there were 100 visitors how many visitors were adults?
e-lub [12.9K]
So, 3/10 = 100/x\frac{3}{10}= \frac{100}{x}  3x=100(10) 3x=1000 1000/3 = 333.33=x
5 0
3 years ago
9.1(6)+8.7(7)=_+60.9<br> How do I solve this?
timurjin [86]

Answer:

The answer is <u>54.6</u>.

9.1(6)+8.7(7)=<u>54.6</u>+60.9

Step-by-step explanation:

Given:

9.1(6)+8.7(7)=_+60.9

Now, to solve it:

9.1(6)+8.7(7)=_+60.9

Let the _be x.

So, we remove parenthesis first that makes it multiply with the number next to it:

9.1\times 6+8.7\times 7=x+60.9

54.6+60.9=x+60.9

Now adding on L.H.S:

115.5=x+60.9

Subtracting on both sides by 60.9 we get:

54.6=x

x=54.6

Therefore, the answer is 54.6.

7 0
3 years ago
Name a point that is not coplanar with R, S, and T.
soldi70 [24.7K]

Answer:

The points that are not coplaner are

w &q

w&R

w&t

w&s

7 0
2 years ago
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