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3 years ago

Use the grouping method to factor the polynomial below completely. x3 + 2x2 + 3x + 6

Mathematics

2 answers:

Phoenix [80]3 years ago

6 0

Hello from MrBillDoesMath!

Answer:

(x+2) ( x^2 + 3)

Discussion:

x^3 + 2x^2 + 3x + 6 =

( x^3 + 2x^2) + (3x + 6) = => factor "x^2" from the first term; factor 3

from the second term

x^2( x + 2) + 3( x+2) = => factor (x+2) from each term

(x+2) ( x^2 + 3)

Thank you,

MrB

NikAS [45]3 years ago

4 0

Answer:

(x+2)(x²+3)

Step-by-step explanation:

We have given an expression.

x³+2x²+3x+6

We have to factor by using grouping method.

Making two groups of two terms that has any common factor, we have

(x³+2x²)+(3x+6)

Since x² is common factor in first parentheses and 3 is common in second parentheses.

taking common, we have

x²(x+2)+3(x+2)

Taking x+2 as common, we have

(x+2)(x²+3)

Hence, x³+2x²+3x+6 has two factors (x+2) and (x²+3).

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Anvisha [2.4K]

Answer:

Probability will be 0.5779

Step-by-step explanation:

Number of tablets n = 19

Probability of defect rems that is p = 0.03

Here number of trials is fixed and probability of success = 0.03

Here p = 0.03

So q = 1 - p = 1 -0.03 = 0.97

By using binomial distribution

Probability is given by $^nC_rp^rq^{n-r}$

So P(0 or 1) = $^{19}C_0{0.03}^0{0.97}^{19-0}+^{19}C_1{0.03}^1{0.97}^{19-1}=0.5606+0.0173=0.5779$

4 0

3 years ago

Help me please!!!!!!!!

pogonyaev

Answer:

1) 4

2) 1.5

3) 8

4) 1

5) 5

6) 9

Step-by-step explanation:

= √(4x4)

= √(4)²

= √(9/4)

= √(3x3)/(2x2)

= √(3)²/(2)²

= 3/2

= 36 ÷ 9 x 2

= 36 x 1/9 x 2

= 36/9 x 2

= 12/3 x 2

= 4 x 2

= 10/10

= √(25)

= √(5x5)

= √(5)²

= 63 ÷ 9 + |2|

= 63/9 + |2|

= 21/3 + |2|

= 7 + |2|

3 0

4 years ago

Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α

sukhopar [10]

Answer:

C abc dm<a=60> o+a ,m(b=60o'a is equal to 150

7 0

3 years ago

Read 2 more answers

The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh

Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is<em> 300 times larger than the virus.</em>

We know that:

The diameter of the virus-cell is:

$D_v = 3 \cdot 10^{-9} m$

The diameter of the bacteria cell is:

$D_b = 9 \cdot 10^{-7} m$

So, to compare them, first notice that both are in the same units, meters, so we only need to <u>compare the numbers</u>.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus <u>the bacteria should be the larger one.</u>

But let's prove this with math, remember the property:

$\frac{a^n}{a^m} = a^{n - m}$

Let's take the quotient between the diameters and see what we get, I will use the <u>diameter of the bacteria in the numerator</u>, thus <u>if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.</u>

$quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m} = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2$

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

8 0

2 years ago

Factorise the following

andreyandreev [35.5K]

Answer:

Below.

Step-by-step explanation:

a) 5x-x² = x(5 - x).

b) x²-6x-27 = (x - 9)(x + 3).

c) x²+x-56 = (x - 7)(x + 8).

d) x³+8 = (x + 2)(x^2 - 2x + 4)

e) 3x⁴-54t = 3(x^4 - 18t)

f) x²+3x-10 = (x - 2)(x + 5)

g) 2(x⁴+x³-12x²) = 2x^2(x + 4)(x - 3)

h) 20(x³-1) = 20(x - 1)(x^2 + x + 1)

7 0

2 years ago