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3 years ago

Use the grouping method to factor this polynomial completely 4x^3+8x^2+3x+6

Mathematics

1 answer:

mart [117]3 years ago

5 0

Answer:

Final answer is $(4x^2+3)(x+2)$ .

Step-by-step explanation:

Given expression is $4x^3+8x^2+3x+6$ .

Now we need to factor that by the method of grouping.

So make two groups having first two terms and then last two term.

Factor each group then factor once more.

$=4x^2(x+2)+3(x+2)$

$=(4x^2+3)(x+2)$

It can't be factored anymore so the final answer is $(4x^2+3)(x+2)$ .

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Kipish [7]

To find the best deal find the unit rate.
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3 0

3 years ago

Read 2 more answers

a bale of hay mesures 2 feet By 2 feet By 3 feet hay weights 8 pound per cubic foot how much does the bale of hay weight

3241004551 [841]

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6 0

3 years ago

In a study, 36% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.

i.e. $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

Formula : $P(x=r)=^nC_r p^r q ^ {n-r}$

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

$P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!} (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=0.390748$

Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907

5 0

3 years ago

Pls help on #7 I will give brainiest ! 7th grade level

valentina_108 [34]

Answer:

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

4 0

2 years ago

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liraira [26]

Answer:

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Step-by-step explanation:

3 0

3 years ago