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2 years ago

What is the result when 3x^4+2x^3-5x^2-6x-2 is divided by x+1

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

5 0

Answer:

The answer to your question is: 3x³ - x² - 4x - 2

Step-by-step explanation:

Data

3x⁴ + 2x³ - 5x² - 6x - 2

x + 1

Process

Synthetic division

3 2 -5 - 6 -2 -1

-3 1 4 2

3 -1 -4 -2 0

Result 3x³ - x² - 4x - 2

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Mhanifa please help with this

Fed [463]

Answer:

<u>Use cross-multiplication to solve these</u>

1) 6/2 = 4/p ⇒ 6p = 4*2 ⇒ p = 8/6 ⇒ p = 4/3
2) 4/k = 8/2 ⇒ 8k = 2*4 ⇒ k = 8/8 ⇒ k = 1
3) n/4 = 8/7 ⇒ n = 4*8/7 ⇒ n = 32/7
4) 5/3 = x/4 ⇒ x = 4*5/3 ⇒ x = 20/3

8 0

2 years ago

Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club. Which statements c

arsen [322]

Divide by 3 then subtract however many you have to

4 0

2 years ago

A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep

katrin [286]

<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

$P(X=x)=^nC_xp^x(1-p)^{n-x}$ , where n is the total number of trials or the sample size and p is the probability of getting success in each trial.

As per given , we have

n = 15

Let x be the number of defective components.

Probability of getting defective components = P = 0.03

The whole batch can be accepted if there are at most two defective components. .

The probability that the whole lot is accepted :

$P(X\leq 2)=P(x=0)+P(x=1)+P(x=2)\\\\=^{15}C_0(0.03)^0(0.97)^{15}+^{15}C_1(0.03)^1(0.97)^{14}+^{15}C_2(0.03)^2(0.97)^{13}\\\\=(0.97)^{15}+(15)(0.03)^1(0.97)^{14}+\dfrac{15!}{2!13!}(0.03)^2(0.97)^{13}\\\\\approx0.63325+0.29378+0.06360=0.99063$

∴The probability that the whole lot is accepted = 0.99063

For sample size n= 2500

Expected value : $\mu=np= (2500)(0.03)=75$

The expected value = 75

Standard deviation : $\sigma=\sqrt{np(1-p)}=\sqrt{2500(0.03)(0.97)}\approx8.53$

The standard deviation = 8.53

6 0

2 years ago

Find the greatest common monomial factor : 4a^5b^2 and ab

3241004551 [841]

4a^5b^2=2*2*a*a*a*a*a*b*b
ab=a*b
greatest factor is ab

8 0

2 years ago

Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She

antoniya [11.8K]

Given:

The recipe calls for $\dfrac{2}{3}$ cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

$\dfrac{2}{3}$ cup of strawberries for = 1 gallon of lemonade

$1$ cup of strawberries for = $\dfrac{1}{\frac{2}{3}}$ gallons of lemonade

= $1\times \dfrac{3}{2}$ gallons of lemonade

= $\dfrac{3}{2}$ gallons of lemonade

$6$ cup of strawberries for = $6\times \dfrac{3}{2}$ gallons of lemonade

= $\dfrac{18}{2}$ gallons of lemonade

= $9$ gallons of lemonade

Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

7 0

2 years ago