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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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Answer:

91%

Step-by-step explanation:

We can use the formula \frac{is}{of}=\frac{percent}{100}

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Substituting in our values we get \frac{90}{99}=\frac{x}{100}

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2 years ago
What conclusion can be based on the given statement?
ValentinkaMS [17]

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The first option x = y

Step-by-step explanation:

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Laura paddles in her canoe at a speed of 5 mph for 5 miles. She then hops on her windsurfer and sails for 12 miles at a speed of
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Laura paddles in her canoe at a speed of 5 mph for 5 miles.

As we know that

\text{Distance=Speed*Time}\\ \\ Time=\frac{Distance}{Speed} \\

Substitute the values we get

Time=\frac{5m}{5mph}=1hr.......(i)\\

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Read 2 more answers
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