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slega [8]
3 years ago
6

Factor the Higher degree polynomial 5y^4 + 11y^2 + 2

Mathematics
2 answers:
kotykmax [81]3 years ago
8 0

\bf 5y^4+11y^2+2\implies 5(y^2)^2+11y^2+2\implies (5y^2+1)(y^2+2)

RideAnS [48]3 years ago
5 0

For this case we must factor the following polynomial:

5y ^ 4 + 11y ^ 2 + 2

We rewrite y ^ 4as (y^ 2) ^ 2:

5 (y ^ 2) ^ 2 + 11y ^ 2 + 2

We make a change of variable:

u = y ^ 2

We replace:

5u ^ + 11u + 2

we rewrite the middle term as a sum of two terms whose product of 5 * 2 = 10 and the sum of 11.

So:

5u ^ 2 + (1 + 10) u + 2

We apply distributive property:

5u ^ 2 + u + 10u + 2

We factor the highest common denominator of each group.

(5u ^ 2 + u) + (10u + 2)\\u (5u + 1) +2 (5u + 1)

We factor again:

(u + 2) (5u + 1)

Returning the change:

(y ^ 2 + 2) (5y ^ 2 + 1)

ANswer:

(y ^ 2 + 2) (5y ^ 2 + 1)

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Answer:

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Step-by-step explanation:

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2 years ago
How much work is done lifting a 5 kg ball from a height of 2 m to a height of 6 m? (Use 10 m/s for the acceleration
Sedbober [7]
<h2>Explanation:</h2>

In physics, work is defined force that causes displacement. So this can be expressed by the following equation:

W=Fs

Where:

F:Force \\ \\ s:Displacement

The force can be found as:

F=ma \\ \\ F=5(10)=50N

And for the displacement:

s=6-2=4m

The force (weight) is down and the displacement is up, then the work must be negative. So:

W=-(50)(4) \\ \\ \boxed{W=-200J}

8 0
3 years ago
Is three and five a factor pair of 15
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Yes because 3*5 = 15

Factors multiply to get the product.

6 0
3 years ago
Read 2 more answers
What is -5/8 times 2/3 equal in fraction form
anastassius [24]

Answer: -5/12

Step-by-step explanation: Before multiplying two fractions together by multiplying across their numerators and multiplying across their denominators, you should always try to cross-cancel as your first step.

So in this problem, the 2 and 8 cross-cancel to 1 and 4.

Also, watch out for your signs. In this problem we have a negative times a positive so we know that our answer will be negative.

Now we can multiply across the numerators and across the denominators.

So we have 5 · 1 which is 5 and 4 · 3 which is 12.

So our answer is -5/12.

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7 0
3 years ago
Read 2 more answers
2 3/8 - 4 1/2 + 3 1/8 - (1/2)
UkoKoshka [18]

let's convert the mixed fractions to improper fractions firstly.

\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}~\hfill \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \stackrel{mixed}{3\frac{1}{8}}\implies \cfrac{3\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{25}{8}} \\\\[-0.35em] ~\dotfill

\bf \cfrac{19}{8}-\cfrac{9}{2}+\cfrac{25}{8}-\cfrac{1}{2}\implies \stackrel{\textit{using an LCD of 8}}{\cfrac{(1)19-(4)9+(1)25-(4)1}{8}}\implies \cfrac{19-36+25-4}{8} \\\\\\ \cfrac{4}{8}\implies \cfrac{1}{2}

8 0
3 years ago
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