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2 years ago

Write 2x3 − 3x2 + x5 in standard form. What is the classification of this polynomial by its degree? by its number of terms?

Mathematics

1 answer:

andrew-mc [135]2 years ago

4 0

Answer:

x⁵ +2x³ -3x², degree 5, 3 terms

Step-by-step explanation:

We assume you intend your expression to be ...

2x³ -3x² +x⁵

The superscript numbers are exponents. Each indicates the degree of the term. In standard form, terms are listed in decreasing order by degree:

x⁵ +2x³ -3x² . . . . standard form

The degree of the polynomial is the degree of the highest-degree term: 5.

The number of terms is the number of products in the sum: 3.

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Mice21 [21]

Answer:

Step-by-step explanation:

NA = √[(- 4 - 1 )² + (- 3 - 2)²] = 5√2

AT = √[(8 - 1 )² + (1 - 2)²] = 5√2

TS = √[(3 - 8 )² + (- 4 - 1)²] = 5√2

NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

$m_{NA}$ = (- 3 - 2) / (- 4 - 1) = 1 ........ (1)

$m_{TS}$ = (- 4 - 1) / (3 - 8 ) = 1 ......... (2)

From (1) and (2) ⇒ NA║TS

$m_{AT}$ = ( 1 - 2) / ( 8 - 1) = - 1 / 7 .......... (3)

$m_{NS}$ = ( - 4 + 3) / ( 3 + 4) = - 1 / 7 .... (4)

From (3) and (4) ⇒ AT║NS

Thus, NATS is rhombus.

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Answer:

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Step-by-step explanation:

$a_1=3,\ a_2=3+5=8,\ a_3=8+5=13,\ a_4=13+5=18\ \implies\ d=5\\\\a_n=a_1+(n-1)d\\\\a_n=3+(n-1)(5)\\\\a_n=3+5n-5\\\\a_n=5n-2\\\\ a_n=78\quad\implies\quad n=\,??\\\\78=5n-2\\\\78+2=5n\\\\5n=80\\\\n=16$

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Answer:

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Step-by-step explanation:

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