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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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Read 2 more answers
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alex41 [277]

Answer:

The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the compound inequality is,

Guests that are under 3 years old and over 62 years old get free admission!

The given inequality can be broken into two individual inequalities as,

Inequality 1: Guests that are under 3 years old get free admission

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The above two inequalities are combined by "and" in the given compound inequality.

Now, "and" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "and" should be replaced with "or".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old or over 62 years old get free admission!".

For more details, refer to the link:

brainly.com/question/20296065?referrer=searchResults

3 0
2 years ago
Steve and Conner together have $60. Steve has $9 more than twice Conner’s amount. How much money does each have?
Lapatulllka [165]

Answer:

Step-by-step explanation:

let a=Ann's amt., b=Betty's amt.

a=2b+9

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6 0
3 years ago
Helppp plsssss!!Thanks
OlgaM077 [116]

f(x) + g(x) =

                  4x + 3  

       3x^2 + 2x - 4

----------------------------------

    3x^      +6x     -1


Answer:   3x^      +6x     -1


Either you typed something wrong in the problem or the answer

3 0
3 years ago
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