The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.
x^3+5x^2-6x-30
(x^3+5x^2)+(-6x-30)
x^2(x+5)+(-6x-30)
x^2(x+5)-6(x+5)
(x^2-6)(x+5)
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Answer: (x^2-6)(x+5)
The formula for obtaining the value of a term of a sequence is given as a
as a recursive formula.
Responses:
- The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
- The sequence of the information is a geometric sequence
<h3>How is the given information expressed as a sequence?</h3>
The amount of pocket money Smith gets = 2 × The amount he gets in the previous day
The amount Smith gets on the first day = R1
Required:
The given information expressed as a sequence.
Solution:
The amount of money smith gets can be expressed as follows;
Amount he gets on day 1 = R1
On day 2, R2 = 2·R1
On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1
On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1
On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1
The information written as a sequence is therefore;
- R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
- The type of sequence is a<u> geometric sequence, or progression</u> where the first term is R1, and the common ratio, r = 2
Learn more about geometric sequence here:
brainly.com/question/4289731
brainly.com/question/1532378
Answer:
4
Step-by-step explanation:
gcf(432,320,228)=gcf(gcf(432,320),228)
432=320(1)+112
320=112(2)+96
112=96(1)+16
96=16(6)
So the gcf(432,320)=16.
So now we need to find gcf(16,228)
228=16(14)+4
16=4(4)
Therefore,
gcf(432,320, 228)
=gcf(gcf(432,320),228)
=gcf(16, 228)=4
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432=4(108)=4(2)(54)
=4(2)(6)(9)=2(2)(2)(2)(3)(3)(3)
320=4(80)=4(2)(40)=2(2)(2)(4)(10)
=2(2)(2)(2)(2)(2)(5)
228=4(57)=2(3)(38)=2(2)(3)(19)
All three of them have 2*2 in commom, so the greatest common factor is 4.
Answer:
Therefore , the factors of 24 are = 1,2,3,4,6,12 and 24
Step-by-step explanation:
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#hope it helps you..
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Answer: 100cm^2
Step-by-step explanation:
i took the test