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liq [111]
3 years ago
7

Factor the polynomial. 24w8 + 30w6

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
7 0
The answer to the question is c

valentinak56 [21]3 years ago
4 0

Answer: 6w^6(4w^2+5)

Step-by-step explanation:

The given polynomial : 24w^8 + 30w^6

The prime factorization of the coefficients of terms present in the polynomial is

24=2\times2\times2\times3\\\\\ 30=2\times3\times5

The GCF of (24,30)=2\times3=6

The GCF of (w^8,w^6)=w^6

Then , the GCF of (24w^8, 30w^6)=6\ w^6

Now, taking 6\ w^6 greatest common factor out from the terms , we get

6w^6(4w^2+5)

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3 years ago
A rectangle has a height of 6k3 and a width of 2k2 + 4k +5.
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Answer: 12k^5+24k^4+30k^3

Step-by-step explanation:

Given : The height of the rectangle = 6k^3

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Therefore , the area of triangle in terms of polynomial will be :

6k^3\times( 2k^2+4k+5)\\\\= 6k^3(2k^2)+6k^3(4k)+6k^3(5)\ \ [\text{Using Distributive property}]\\\\=12k^{3+2}+24k^{3+1}+30k^3\ \ [\text{Using exponents rule}:\ a^n\times a^m=a^{n+m}]\\\\=12k^5+24k^4+30k^3

Hence, the area of the entire rectangle =12k^5+24k^4+30k^3

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3 years ago
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aliina [53]

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Question 5<br> Find the sum of the following geometric series.<br> 8+1.6+0.32+0.064 + ...
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good morning,

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