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cricket20 [7]
3 years ago
14

Write a polynomial as the sum of the monomials and write it in standard form. For each of the above specify the degree of the re

sulting polynomial. 4a, −5b·b^2, −3c, +7b^3, +c, −2a, 1
Mathematics
1 answer:
klio [65]3 years ago
7 0

Answer:

2b³ +2a -2c . . . . degree 3 polynomial

Step-by-step explanation:

The monomials are ...

... 4a . . . . degree 1 in a

... -5b·b² = -5b³ . . . . degree 3 in b

... -3c . . . . degree 1 in c

... 7b³ . . . . degee 3 in b (like term with -5b³)

... +c . . . . degree 1 in c (like term with -3c)

... -2a . . . . degree 1 in a (like term with 4a)

So, we have 3 pairs of like terms. The like terms can be combined by summing their coefficients.

The degree of the polynomial is that of the highest-degree term. (Here, the b³ term makes it a polynomial of degree 3.)

... 4a -2a = (4-2)a = 2a . . . . combining the "a" terms

... -5b³ +7b³ = (-5+7)b³ = 2b³ . . . . combining the b³ terms

... -3c +c = (-3 +1)c = -2c . . . . combining the "c" terms

In standard form, we write the highest-degree term first. Follwing terms are in order by decreasing degree. It is convenient, but perhaps not required, to then write the terms of the same degree in alphabetical order.

... = 2b³ +2a -2c . . . . a 3rd degree polynomial

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What fraction is equivalent to 20 in simplest fraction form
SIZIF [17.4K]

Answer:

I believe its 20% or 20/100 or 1/5

Step-by-step explanation:

i mean, 20% is 20/100 or 1/5. the number already a fraction. the denominator is out of 100.

20% = 20/100

then you change it to simpliest form.

20 / 20 = 1

100 / 20 = 5 = 1/5

8 0
3 years ago
Which expression is equivalent to 3x+10−x+12<br> a.24x<br> b.4x + 22<br> c.26x<br> d.2x + 22
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Answer:

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3 years ago
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3 years ago
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Which inequality represents all values of x for which the product below is defined?
Vedmedyk [2.9K]

Step 1 ) Separate the 4 and x.

\displaystyle\sqrt{4x} * \sqrt{x+2}

↓

\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}

Step 2 ) Simplify the square root of 4.

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↓

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Step 3 ) Simplify.

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

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\displaystyle\ 2 \sqrt{x(x+2)}

This is now in its simplest form, so the final answer is...

\displaystyle\ 2 \sqrt{x(x+2)}

or it could be...

\displaystyle\ 2 \sqrt{x} \sqrt{x+2}

Either one is correct. Only difference is one is in simplest form and one isn't.

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- Marlon Nunez

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