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3 years ago

Use the grouping method to factor x^3+x^2+2x+2

Mathematics

1 answer:

Alexus [3.1K]3 years ago

6 0

Factor out common terms in the first two terms, then in the last two terms

x^2(x + 1) + 2(x + 1)

Factor out the common term x + 1

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Someone please help me on both the questions!!!

bonufazy [111]

Step-by-step explanation:

al nth term:

numerator:

$= {n}^{2}$

denominator:

$= n + 1$

so nth term :

$= \frac{ {n}^{2} }{n + 1}$

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

${an}^{2} + bn + c$

$(3) {(1)}^{2} + (1)(1) + c = 1$

$3(1) + 1 + c = 1$

$3 + 1 + c = 1$

$4 + c = 1$

$c = - 3$

So Tn:

$3 {n }^{2} + 1n - 3$

7 0

2 years ago

Read 2 more answers

an artist agrees to paint a landscape painting at $0.30 per square inch. if the paint is 13 inches by 17 inches how much should

saw5 [17]

Width times length equals area so 13 times 17 equals 221 and multiply that by the price of each square inch so he should charge $66.30

7 0

4 years ago

Read 2 more answers

20 divided by 4 - 5+12

likoan [24]

The answer is 12. you first divide 20 by 4 and get 5. then you subtract 5 by 5 and get 0. then you add 12 plus 0 and get 12

Hope I Helped :D

7 0

3 years ago

Read 2 more answers

What is 20% of 55?

KengaRu [80]

Answer:

12.1 is the answer

.....

8 0

3 years ago

If 900 is shared in the ratio 8:10,find each shared

kirill [66]

Answer:

400 and 500

Step-by-step explanation:

the ratios are 8:10

total ratio = 8+10 = 18

share for the ratio is 8 = 8/18×900

= 0.444444444×900= 400

therefore, share for the ratio of 8= 400

share for the ratio of 10= 10/18×900

= 0.555555555×900=500

therefore, share for the ratio of 10= 500

7 0

2 years ago